Paper Citation Record · LEDGER

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations

As of 16 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:1908.07895.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.07895 v1

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measured 45 of 45 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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45 of 45 outbound references displayed

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External citation measurements

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Outbound references

Observation 9ef7bdc7-7ab7-45de-a376-84b9dff9f19a · outbound

This paper cites Adams and L.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Adams and L

Reference 1

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Observation 53d23b63-0b45-4ea9-8cfb-128287e88263 · outbound

This paper cites Aimar, A.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Aimar, A

Reference 2

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Observation 8c0c415d-4763-4b03-a5c0-cbc0ff0ee35c · outbound

This paper cites Ambrosio, N.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Ambrosio, N

Reference 3

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Observation e7889e84-8ca4-4bec-8383-1c501f335bbe · outbound

This paper cites Capogna and N.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Capogna and N

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.602316Z

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Observation e3c8e152-0b5e-4811-8451-b87960c4b4c6 · outbound

This paper cites Chang and J.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Chang and J

Reference 5

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Observation becf2611-e89a-467b-b64a-1f1cf806ab75 · outbound

This paper cites Cheeger, Diﬀerentiability of Lipschitz functions on metric measure spaces, GAF A 9:3 (1999), 428-517.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Cheeger, Diﬀerentiability of Lipschitz functions on metric measure spaces, GAF A 9:3 (1999), 428-517

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.581983Z

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Observation ed334b37-2b25-435f-aa7c-d9e5879d1942 · outbound

This paper cites Fractional and fractal derivatives modeling of turbulence.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Fractional and fractal derivatives modeling of turbulence

Reference 7

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Observation 7fba5b26-0834-489f-a254-2a8efef9aa70 · outbound

This paper cites Christ, A T (b) theorem with remarks on analytic capacity and the Cauchy in tegral, Colloq.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Christ, A T (b) theorem with remarks on analytic capacity and the Cauchy in tegral, Colloq

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.571908Z

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Observation 77d24b1d-608e-43f4-833b-b2d9233b21f9 · outbound

This paper cites Constantin, Geometric statistics in turbulence, SIA M Rev.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Constantin, Geometric statistics in turbulence, SIA M Rev

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.562143Z

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Observation ebeeed3e-1cbf-4852-aafb-c5a184552404 · outbound

This paper cites Coifman and G.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Coifman and G

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.552058Z

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Observation 19410ae9-e6e8-4724-9e68-f0037a2d60c0 · outbound

This paper cites Dziuba´ nski, G.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Dziuba´ nski, G

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.541570Z

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Observation e49ed192-d20a-4ffc-8f39-3f3a3572fefd · outbound

This paper cites Dziuba´ nski, Note on H 1 spaces related to degenerate Schr¨ odinger operators, Ill.J.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Dziuba´ nski, Note on H 1 spaces related to degenerate Schr¨ odinger operators, Ill.J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.531890Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ee8f85dd-e2ce-4f0c-9fba-dd58a1969a63 · outbound

This paper cites Folland and E.M.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Folland and E.M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.520812Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2d720343-01bf-4f5c-99c1-3178d4009182 · outbound

This paper cites Grigor’yan, Gaussian upper bounds for the heat kerne l on arbitrary manifolds, J.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Grigor’yan, Gaussian upper bounds for the heat kerne l on arbitrary manifolds, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.509353Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 501ddbc4-a5d2-4f2f-a62c-a4aa70568171 · outbound

This paper cites Grigor’yan, Heat kernels and function theory on metr ic measure spaces, Contemp.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Grigor’yan, Heat kernels and function theory on metr ic measure spaces, Contemp

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.498535Z

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Observation 90fcd6ef-620f-4e8a-b627-b8066a030a5b · outbound

This paper cites Grigor’yan, On stochastically complete manifolds, Engl.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Grigor’yan, On stochastically complete manifolds, Engl

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.487477Z

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Observation 75655edf-3570-41a3-9973-7b2e85b4ce05 · outbound

This paper cites Grigor’yan, Analytic and geometric background of re currence and non-explosion of the Brownian motion on Riemannian manifolds, Bull.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Grigor’yan, Analytic and geometric background of re currence and non-explosion of the Brownian motion on Riemannian manifolds, Bull

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.478100Z

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Observation bc67c5e0-e6f3-4935-9400-c15e9b6e3b76 · outbound

This paper cites Grigor’yan, E.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Grigor’yan, E

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.468212Z

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Observation 3c178f3c-dbb4-4151-b1fc-98705f6b39ce · outbound

This paper cites Grigor’yan, E.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Grigor’yan, E

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.458586Z

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Observation ac5afd4f-5617-4432-9499-37f5630e13b5 · outbound

This paper cites Grigor’yan and J.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Grigor’yan and J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.449588Z

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Observation 63b95612-ffe9-4e99-aa3a-e9c08701611a · outbound

This paper cites Grigor’yan, J.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Grigor’yan, J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.441202Z

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Observation 19accf77-5b17-4a12-86f2-c560424e190e · outbound

This paper cites Hebisch and L.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Hebisch and L

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.431131Z

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Observation c21aa0ac-3be1-42e0-bf5a-42c7e06fe81c · outbound

This paper cites Heinonen and P.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Heinonen and P

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.421856Z

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Observation dac38a36-0010-4131-8914-83e606c27013 · outbound

This paper cites Heinonen, P.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Heinonen, P

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.411797Z

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Observation d5da5de1-d75d-4f2c-95f3-4152b76399b4 · outbound

This paper cites Huang, P.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Huang, P

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.402954Z

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Observation 87350ff4-84f4-4424-9166-09530d8b4d75 · outbound

This paper cites Jespersen, R.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Jespersen, R

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.393482Z

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Observation 0729fbc7-880a-4509-8e0c-7e31c8e623bf · outbound

This paper cites Jiang, J.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Jiang, J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.384068Z

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Observation 12df90f4-48df-4e7a-81e3-d93884caa5ab · outbound

This paper cites Li, Estimations Lp des op´ erateurs de Schr¨ odinger sur les groupes nilpotents , J.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Li, Estimations Lp des op´ erateurs de Schr¨ odinger sur les groupes nilpotents , J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.373450Z

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Observation 1a219f5e-172c-42d0-b025-93c55b087f12 · outbound

This paper cites Li and S.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Li and S

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.364203Z

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Observation bb535ae8-ea22-442c-b229-0c9640f43c95 · outbound

This paper cites Lin and H.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Lin and H

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.354691Z

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Observation ccdb6dd2-a846-4f80-b777-801232dccccc · outbound

This paper cites Lions, Quelques m´ ethodes de r´ esolution des probl` emes aux limites non lin´ eaires, Dunod/Gauthier.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Lions, Quelques m´ ethodes de r´ esolution des probl` emes aux limites non lin´ eaires, Dunod/Gauthier

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.345960Z

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Observation d6a86dab-5a01-44e8-94ae-43a989e63afe · outbound

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Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:16:44.336184Z

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Observation d776dda1-7193-487a-a528-0380740b8426 · outbound

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Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:16:44.327037Z

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Observation 7f158471-525e-4e8e-b60c-e69e83943658 · outbound

This paper cites an unresolved cited work.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:16:44.317474Z

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Observation b68a2922-eddb-415d-82b5-1b10a0115f60 · outbound

This paper cites Podlubny, Fractional Diﬀerential Equations, Acade mic Press, New York, NY, USA, 1999.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Podlubny, Fractional Diﬀerential Equations, Acade mic Press, New York, NY, USA, 1999

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.309131Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 61dd7b5b-d7d9-4114-9761-32202c870fb9 · outbound

This paper cites Saichev and G.M.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Saichev and G.M

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.299761Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e9c165c8-aa1d-483b-9674-cfc374639844 · outbound

This paper cites Shen, Lp estimates for Schr¨ odinger operators with certain potentials, Ann.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Shen, Lp estimates for Schr¨ odinger operators with certain potentials, Ann

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.291066Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0f615254-1fb9-4d0b-81b0-3a1b3492cf03 · outbound

This paper cites Shi and J.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Shi and J

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.281545Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 48e64fd0-4229-4f0d-985d-b35d74d7b491 · outbound

This paper cites Sogge, Fourier integral operators in classical anal ysis, Cambridge University Press, 1993.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Sogge, Fourier integral operators in classical anal ysis, Cambridge University Press, 1993

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.271931Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4b1d03fc-b68b-48d4-897e-1a31d608ca7e · outbound

This paper cites Varopoulos, L.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Varopoulos, L

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.261710Z

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Observation 86b6c79e-67c2-4fe5-b12c-8ddc01d5f38e · outbound

This paper cites Yan and Da.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Yan and Da

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.252251Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a7ed88f6-180b-400c-95d1-767a8305df29 · outbound

This paper cites Yang, Some function spaces relative to Morrey-Camp anato spaces on metric spaces, Nagoya Math.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Yang, Some function spaces relative to Morrey-Camp anato spaces on metric spaces, Nagoya Math

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.241866Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 38be545d-1b3f-427b-8664-accd42db6509 · outbound

This paper cites Yang, Do.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Yang, Do

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.232061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 97a332af-e977-4692-bbf5-f33f751daf60 · outbound

This paper cites Yosida, Functional Analysis, Springer Press, Berli n, 1980.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Yosida, Functional Analysis, Springer Press, Berli n, 1980

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.221634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3343ac5c-3bc2-4def-8da4-fd85f558860c · outbound

This paper cites Zhai, Strichartz type estimates for fractional heat equations, J.

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations Zhai, Strichartz type estimates for fractional heat equations, J

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:16:44.210375Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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