Paper Citation Record · LEDGER

The optimal range of the Calder\`{o}n operator and its applications

As of 16 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:1908.09548.

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

pith.paper-citation-record.v1
1908.09548 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:17:50.529568Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

43 of 43 outbound references displayed

verified exact0
verified fuzzy35
unresolved7
parse uncertain1
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fa3ba6ca-5fe5-4219-abec-9649e044a99e · outbound

This paper cites Arazy, Some remarks on interpolation theorems and the boundedness of the triangular projection in unitary matrix spaces , Integr.

The optimal range of the Calder\`{o}n operator and its applications Arazy, Some remarks on interpolation theorems and the boundedness of the triangular projection in unitary matrix spaces , Integr

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:51.242326Z

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 d4805394-b980-4002-bd88-0386c2114a34 · outbound

This paper cites Astashkin and F.A.

The optimal range of the Calder\`{o}n operator and its applications Astashkin and F.A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:51.225709Z

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 9ca1d1ad-d2cc-4885-8858-038127aebf76 · outbound

This paper cites Bennett and R.

The optimal range of the Calder\`{o}n operator and its applications Bennett and R

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:51.210133Z

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 142e4007-8d8f-41b4-9df3-6a6f275e5b3d · outbound

This paper cites Berkson, T.A.

The optimal range of the Calder\`{o}n operator and its applications Berkson, T.A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:51.183788Z

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 8b2ae2dc-480f-4cdb-bddb-b9b51728fcca · outbound

This paper cites Birman, M.

The optimal range of the Calder\`{o}n operator and its applications Birman, M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:51.167790Z

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 eb4f83f7-420a-44f5-82c6-4a5a0c0859e5 · outbound

This paper cites Bourgain, Some remarks on Banach spaces in which martingale diﬀerence sequences are unconditional, Ark.

The optimal range of the Calder\`{o}n operator and its applications Bourgain, Some remarks on Banach spaces in which martingale diﬀerence sequences are unconditional, Ark

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:51.150770Z

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 66d53163-cd80-44fc-9bee-24670fa02eb0 · outbound

This paper cites Boyd, The Hilbert transform on rearrangement-invariant spaces, Can.

The optimal range of the Calder\`{o}n operator and its applications Boyd, The Hilbert transform on rearrangement-invariant spaces, Can

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:51.134551Z

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 bae3cdfd-8bd4-4093-9f7c-b33bd1e44cd6 · outbound

This paper cites Burholder, A geometrical characterization of Banach spaces in which ma rtingale dif- ference sequences are unconditional , Ann.

The optimal range of the Calder\`{o}n operator and its applications Burholder, A geometrical characterization of Banach spaces in which ma rtingale dif- ference sequences are unconditional , Ann

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:51.118753Z

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 3f0c0449-e268-4cb0-817a-2fb6b11e0788 · outbound

This paper cites Carey, A.

The optimal range of the Calder\`{o}n operator and its applications Carey, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:51.102557Z

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 d81c9af8-5ead-4d39-84c1-ad9be8961ab3 · outbound

This paper cites Caspers, D.

The optimal range of the Calder\`{o}n operator and its applications Caspers, D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:51.086071Z

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 1f01b0e7-46ef-41e9-b33b-2a34248d93bb · outbound

This paper cites Caspers, D.

The optimal range of the Calder\`{o}n operator and its applications Caspers, D

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:51.067750Z

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 532d9bbb-1d74-4a90-b2b5-1a92c094037b · outbound

This paper cites Davies, Lipschitz continuity of functions of operators in the Schat ten classes , J.

The optimal range of the Calder\`{o}n operator and its applications Davies, Lipschitz continuity of functions of operators in the Schat ten classes , J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:51.051108Z

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 65c37941-15f7-4efc-81ab-627a48eb3ee6 · outbound

This paper cites Dirksen, Noncommuatative Boyd interpolation theorem , Trans.

The optimal range of the Calder\`{o}n operator and its applications Dirksen, Noncommuatative Boyd interpolation theorem , Trans

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:51.033757Z

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 a84796f1-1d57-4a9c-8350-6ab16ee93770 · outbound

This paper cites Dodds, B.

The optimal range of the Calder\`{o}n operator and its applications Dodds, B

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:51.014995Z

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 90d1b3e8-3baa-4dfc-a3e6-786b12397a13 · outbound

This paper cites Dodds, T.K.

The optimal range of the Calder\`{o}n operator and its applications Dodds, T.K

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.998005Z

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 09b90b0c-81f6-41c5-9bd7-87aff919ac8e · outbound

This paper cites Dodds, T.K.

The optimal range of the Calder\`{o}n operator and its applications Dodds, T.K

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.982751Z

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 a74c134c-4f7f-4c56-bf0c-da953bd5388f · outbound

This paper cites Dodds, T.K.

The optimal range of the Calder\`{o}n operator and its applications Dodds, T.K

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.967018Z

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 0924be98-81e0-4f7b-b875-68100fb789a9 · outbound

This paper cites Dodds, B.

The optimal range of the Calder\`{o}n operator and its applications Dodds, B

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.951928Z

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 675d9182-e9db-4b6f-a5f9-76b467b0c1ca · outbound

This paper cites an unresolved cited work.

The optimal range of the Calder\`{o}n operator and its applications Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:17:50.936286Z

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 86fee6d2-8d77-46c7-b348-0b7b4521c790 · outbound

This paper cites Gohberg and M.G.

The optimal range of the Calder\`{o}n operator and its applications Gohberg and M.G

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T11:17:50.425965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 490ee9b5-8f33-42f7-a411-aec9cfa25f16 · outbound

This paper cites Gohberg and M.G.

The optimal range of the Calder\`{o}n operator and its applications Gohberg and M.G

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.910665Z

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 55201570-631c-43a0-bc42-1ea31ea63998 · outbound

This paper cites an unresolved cited work.

The optimal range of the Calder\`{o}n operator and its applications Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:17:50.894745Z

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 9a3179e1-1b5c-4ebd-b695-bd533ee0e918 · outbound

This paper cites Huang, F.

The optimal range of the Calder\`{o}n operator and its applications Huang, F

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.878445Z

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 38fd5f0a-be89-47e5-bd41-4fafe9ec155e · outbound

This paper cites Kalton, N.

The optimal range of the Calder\`{o}n operator and its applications Kalton, N

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-14T11:17:50.444123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e270a22b-571b-4f4c-8b74-cf18b43f389f · outbound

This paper cites Kalton, F.

The optimal range of the Calder\`{o}n operator and its applications Kalton, F

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.853101Z

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 c4fec187-1458-4ecd-a118-9edde30fe4c7 · outbound

This paper cites Katznelson, An introduction to Harmonic analysis , Third Corrected Edition, Cambridge University Press, (2012).

The optimal range of the Calder\`{o}n operator and its applications Katznelson, An introduction to Harmonic analysis , Third Corrected Edition, Cambridge University Press, (2012)

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-14T11:17:50.453521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0650adf6-db8b-4ee1-a99a-935f3bf6b4d3 · outbound

This paper cites Kolmogorov, Sur les fonctions harmoniques conjuguees et les series de Fo urier, Fun- damenta Math.

The optimal range of the Calder\`{o}n operator and its applications Kolmogorov, Sur les fonctions harmoniques conjuguees et les series de Fo urier, Fun- damenta Math

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.826769Z

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 a04c9765-273f-4f10-b3ae-74409eb505d0 · outbound

This paper cites Kosaki, Unitarily invariant norms under which the map A → | A| is continuous , Publ.

The optimal range of the Calder\`{o}n operator and its applications Kosaki, Unitarily invariant norms under which the map A → | A| is continuous , Publ

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.811003Z

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 5964e543-b417-4ea6-8d3b-6c61c20c88f6 · outbound

This paper cites Krein, Y.

The optimal range of the Calder\`{o}n operator and its applications Krein, Y

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-14T11:17:50.467682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85ed8865-8807-4d06-b593-afd8ec8edaea · outbound

This paper cites Lindenstrauss, L.

The optimal range of the Calder\`{o}n operator and its applications Lindenstrauss, L

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.781186Z

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 642cf1f4-8dad-4ddc-b733-b6642cac0815 · outbound

This paper cites Lozanovski ˇi, Mappings of Banach lattices of measurable functions , Izv.

The optimal range of the Calder\`{o}n operator and its applications Lozanovski ˇi, Mappings of Banach lattices of measurable functions , Izv

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.764581Z

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 cf216dc0-74d1-434b-9f98-a7189fe785db · outbound

This paper cites an unresolved cited work.

The optimal range of the Calder\`{o}n operator and its applications Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:17:50.749263Z

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 aaa11359-4bf6-4ad7-a353-48127e9b3cae · outbound

This paper cites Meyer-Nieberg, Banach Lattices, Springer-Verlag, (1991).

The optimal range of the Calder\`{o}n operator and its applications Meyer-Nieberg, Banach Lattices, Springer-Verlag, (1991)

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.732750Z

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 7c6cfc11-744c-4ffc-8ee4-6fe50d460154 · outbound

This paper cites Macaev, Volterra operators obtained from self-adjoint operators b y perturbation , Dokl.

The optimal range of the Calder\`{o}n operator and its applications Macaev, Volterra operators obtained from self-adjoint operators b y perturbation , Dokl

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.716571Z

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 679fbe6a-cdc4-4a65-8aae-a9df67ea548d · outbound

This paper cites Nazarov, V.

The optimal range of the Calder\`{o}n operator and its applications Nazarov, V

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.697536Z

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 4c7eb2ff-1b0f-4f76-8209-30d5f898e3ec · outbound

This paper cites de Pagter, H.

The optimal range of the Calder\`{o}n operator and its applications de Pagter, H

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.678544Z

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 e879ddbc-00af-46e8-a9c3-e3e64600bc74 · outbound

This paper cites Potapov, F.

The optimal range of the Calder\`{o}n operator and its applications Potapov, F

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.657831Z

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 a16754f6-b562-43e2-9eed-9b793b089187 · outbound

This paper cites Randrianantoanina, Hilbert transform associated with ﬁnite maximal subdiagon al algebras, J.

The optimal range of the Calder\`{o}n operator and its applications Randrianantoanina, Hilbert transform associated with ﬁnite maximal subdiagon al algebras, J

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.635452Z

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 82172834-e709-472c-bc06-5d28d0c57d57 · outbound

This paper cites Randrianantoanina, Spectral subspaces and non-commutative Hilbert transform s, Colloq.

The optimal range of the Calder\`{o}n operator and its applications Randrianantoanina, Spectral subspaces and non-commutative Hilbert transform s, Colloq

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.617967Z

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 1b7b3e56-e9a1-4e41-b7ff-a0222c0079f4 · outbound

This paper cites Reed and B.

The optimal range of the Calder\`{o}n operator and its applications Reed and B

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.601284Z

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 f714c8aa-e3b9-43ce-a3ae-715b1825d4bc · outbound

This paper cites Sukochev, Completeness of quasi-normed symmetric operator spaces , Indag.

The optimal range of the Calder\`{o}n operator and its applications Sukochev, Completeness of quasi-normed symmetric operator spaces , Indag

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.584335Z

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 0643706e-89f4-4c84-bf1d-26a6fde97545 · outbound

This paper cites Zsid´ o, On spectral subspaces associated to locally compact abelia n groups of operators , Adv.

The optimal range of the Calder\`{o}n operator and its applications Zsid´ o, On spectral subspaces associated to locally compact abelia n groups of operators , Adv

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:17:50.568481Z

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 8fde40e5-8bb8-4af8-baf9-92cdeee48874 · outbound

This paper cites an unresolved cited work.

The optimal range of the Calder\`{o}n operator and its applications Unresolved cited work

Reference 129

Resolution: parse uncertain; no resolver link, observed 2026-08-14T11:17:50.344389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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