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Paper Citation Record · LEDGER

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces

As of 8 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2506.04052.

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

pith.paper-citation-record.v1
2506.04052 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:06:42.722082Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-16T17:34:02.489492Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-16T17:38:11.246133Z

Reference resolution

20 of 20 outbound references displayed

  • verified exact1
  • verified fuzzy17
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9eb2f233-e6f3-4aaa-8ccc-29ad9b42bf40 · outbound

This paper cites Ahern, M.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Ahern, M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:44.941593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:41.412875Z digest=sha256:04620f1588af59e004de3f37b31f65e884363954f73e3daa4ad8568450804d0a

Observation 4de3a675-766c-4c52-a4f4-701fa59b7d55 · outbound

This paper cites On the convexity of the Berezin range of composition operators and related questions.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces On the convexity of the Berezin range of composition operators and related questions

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T11:06:41.502631Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:06:41.502631Z digest=sha256:86d21a179aecb1eb2464cfd8e43c969a1bca3ba5d2be162001532fd4ef1877ba

Observation 3424807a-5f14-4013-a04b-23018d33641b · outbound

This paper cites Augustine, M.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Augustine, M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:44.864033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:41.560550Z digest=sha256:98e6d8b010e1c15c9b7db96cd54ba76f166ce4096e3eb6a3072ab41f54ebd7da

Observation 1624e93b-98df-49bd-ab66-f902683f10b6 · outbound

This paper cites Berezin, Covariant and contravariant symbols for operators, Math.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Berezin, Covariant and contravariant symbols for operators, Math

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:44.752013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:41.654115Z digest=sha256:95e703ea8a76876f9421028b1ce84fd78c72c374187b7100512cec1e844f4a61

Observation 546a49dc-142b-4225-8727-4dc2daabf5d2 · outbound

This paper cites Bourdon and J.H.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Bourdon and J.H

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:44.644485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:41.718861Z digest=sha256:8e9e67249042f3737c1c9ee617d2091f3d1ed49dc54efff0abc603d9f5240c7b

Observation 3a4125b2-22f4-4ea4-bd31-c65af3e4a2ff · outbound

This paper cites Cowen and C.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Cowen and C

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:44.563283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:41.762893Z digest=sha256:e156259665bcdf32d9f7b7c2f5c703650dd59dbeed86a205f63145c8dd70955c

Observation 7d802105-2359-43b1-8314-a683431dc18e · outbound

This paper cites Coburn, Berezin transform and Weyl-type unitary operators on the Bergman space, Proc.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Coburn, Berezin transform and Weyl-type unitary operators on the Bergman space, Proc

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:44.435201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:41.854759Z digest=sha256:b977fe195d3ed3ac6aa91461445528cc917871d5d7598e4050849acb26d7746e

Observation 0004e87a-67e7-4a32-88eb-76e2e891d2d9 · outbound

This paper cites ˇCuˇ ckovi´ c and R.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces ˇCuˇ ckovi´ c and R

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:44.322001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:41.911375Z digest=sha256:04642236b55cb25afb51ef37842d7019e52f56e4c55891603c0c486e75bd1574

Observation 42891b79-05f5-4642-9ac8-7e8d37bc18a0 · outbound

This paper cites Engliˇ s, Toeplitz operators and the Berezin transform on H 2, Linear Algebra Appl.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Engliˇ s, Toeplitz operators and the Berezin transform on H 2, Linear Algebra Appl

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:44.212526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:42.008614Z digest=sha256:1957722d21ea4d6e209d8a3ca4bd545f9580816dd6b7bdfc067ccc73797a5a38

Observation 184a44f6-8023-4974-8e2b-705c700445dd · outbound

This paper cites Engliˇ s, Functions Invariant under the Berezin Transform, J.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Engliˇ s, Functions Invariant under the Berezin Transform, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:44.086428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:42.057759Z digest=sha256:469d9506dd16c459df5e057eac9de06cc6a8d6e5d3845b60551bd711bc9091fe

Observation 54efed36-57a9-4e6b-8e38-3e1efd89b0d4 · outbound

This paper cites Gallardo-Guti´ errez, R.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Gallardo-Guti´ errez, R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:43.963841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:42.140767Z digest=sha256:9c83cc212998d24ab1701c1be7d4c4898815636978c818c37cbaf46c7763478b

Observation 931a237b-f1f4-4c68-9dc6-cd5dd15d30d8 · outbound

This paper cites Gustafson and D.K.M.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Gustafson and D.K.M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:43.838216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:42.205736Z digest=sha256:268422be166acf031df8ea6285e24bcab13c29a3ece764775a51af311ca86d12

Observation aa5ba112-a5ee-4b4b-b772-4ad2ffd6e2e2 · outbound

This paper cites Karaev, Reproducing kernels and Berezin symbols techniques in various questions of operator theory, Complex Anal.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Karaev, Reproducing kernels and Berezin symbols techniques in various questions of operator theory, Complex Anal

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:43.758983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:42.273001Z digest=sha256:2cbc6e03abfe0f154e89f3c3832e3067dc684ce8d3056323337403a71a26cf88

Observation 0f63f48d-3886-41b5-bb42-ec18b42019a9 · outbound

This paper cites Karaev, Berezin symbol and invertibility of operators on the functional Hilbert spaces, J.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Karaev, Berezin symbol and invertibility of operators on the functional Hilbert spaces, J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:43.633586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:42.339620Z digest=sha256:dcc1e2ebfe1aea7c795074fc29cfebe48fecce06c7d61787af5fd2129674d0ef

Observation c53b9e77-2855-4eb7-a4b1-f47bc7571823 · outbound

This paper cites Nordgren and P.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Nordgren and P

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:43.509819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:42.395521Z digest=sha256:bf0814f64a9f534828a56106ed827e74f468cd0e4dcf6fd26dd07da7227ea2a7

Observation 97f85aca-0100-4180-9da2-34668397fef2 · outbound

This paper cites Numerical range of Toeplitz and Composition operators on weighted Bergman spaces.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Numerical range of Toeplitz and Composition operators on weighted Bergman spaces

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:06:42.841104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:42.449306Z digest=sha256:af960252cb4d2566c94c034d4e7a3cd19f8fc77022530df6f6b40fb4ef7897ce

Observation 6103e886-f051-4d42-9ede-8ad6a9f85375 · outbound

This paper cites Zhao and D.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Zhao and D

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:43.348608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:42.539143Z digest=sha256:c13bacd081abb74b5f0005e5957561d2ee515d9f7659edcb6320bae77743a63c

Observation 505f495f-a862-4d3a-8a47-8c336f368d86 · outbound

This paper cites Zhu, The Berezin transform and its Applications, Acta Math.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Zhu, The Berezin transform and its Applications, Acta Math

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:43.161212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:42.575917Z digest=sha256:f18b88b12b3e00dcd032223d3c4b09c64221c70bbbf4f5f6806662736fda89d1

Observation 96f14644-d8a8-4183-a53c-99d75a112e66 · outbound

This paper cites Zhu, Operator theory in function spaces, Math.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Zhu, Operator theory in function spaces, Math

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-07T11:06:42.642222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:06:42.642222Z digest=sha256:9e3e6fb3ffa533cd4553e105cce04fc92c38645797542d62792b3635ee34b6dc

Observation afb23b14-340b-48a9-ba5e-56ebf8c3af00 · outbound

This paper cites Zorboska, The Berezin transform and radial operators, Proc.

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces Zorboska, The Berezin transform and radial operators, Proc

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:43.010797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:06:42.722082Z digest=sha256:9992a5d2111bb5280b3bf6bb43145f9455fe85d8d5a4aa6987b83613f27e613f

Pith citing papers

Observation 443fc656-b81f-41e2-9a3a-ace18031dafa · inbound

$q$-Berezin Range of Operators in Hardy Space cites this paper.

$q$-Berezin Range of Operators in Hardy Space On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-16T17:38:11.247966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-16T17:34:02.489492Z digest=sha256:00aee8f774f54040972f79638b6c08cb48df832be561c5588af2dda100058b4a