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Paper Citation Record · LEDGER

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

As of 7 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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:41.412875Z digest=sha256:da5389655750665adef6a1c3bc7da1c1ebc9c3d60349428f6442bbdf3529d403

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:41.560550Z digest=sha256:8dd06b521ffa41f6c8fb707d48c0d45dcfa39dcf99b3fab997b71a32b4221be1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:41.654115Z digest=sha256:9d7f6f714eea9fd3a3257222fa5135790580d4daa3c98680d812e5b7ef3e4ba7

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:41.718861Z digest=sha256:b00882f38ae286fba21308b3d05e734b35d1b345e02644875c777a233d59ee8c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:41.762893Z digest=sha256:29b935c5c94ace4dae43f930487a3c8910f95bfecf6a4dc9e0157fc986583d19

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:41.854759Z digest=sha256:56469efffa281b1cee8f546eb0183750e0b242a52f4123367dc6c6455e113881

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:41.911375Z digest=sha256:c3dea9805bda5618813d6aceb90da20fd6392aafb67b9af89ba2dc13f7d64880

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:42.008614Z digest=sha256:c4f20dd1b602cbc0620a7dd71ac1232816d56ec4744bf95f7f9cef7e71217cd6

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:42.057759Z digest=sha256:2b73f3ed0bc40a3998a45d2873cfc65f5f99998453c7dac38cf6b40991ee01c1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:42.140767Z digest=sha256:85ad54e3c413e495d063c965e239607a66b342d5f0ad5a2e92ebcc64d9d6bcb0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:42.205736Z digest=sha256:7ad5b8adc18b52f5670b4581067df6dc866b8efe16fa0c9a2c866e5d880d810b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:42.273001Z digest=sha256:45791670aeaa96d670011b1f484274df634f51cea3d13551d75f30baa79064da

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:42.339620Z digest=sha256:fa6624c4782cb1f162989247898b093c50565a1ef495c593638e06688ee63382

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:42.395521Z digest=sha256:047081ad1a058890d6be62e1208d68ba06116fc79c6fc53ce2a0a23d480f926f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:42.449306Z digest=sha256:122f14dc994026648055f809725158f4f0740b2010283c9333e2816ba7daa752

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:42.539143Z digest=sha256:5ff251082ddff7b8ec19e50a4ea5210afd9a0dd45daaa7070a5fc293ed6cfd24

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:42.575917Z digest=sha256:44dd221a30e227d789388f28cbcb9ed80de38f4d0270da1a9f51d244b7b67b7c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:06:42.722082Z digest=sha256:75b69d7881ac76e1026b99872cf8bcd39a0d7c5b43f15ad7f5a04a8e0ac715d8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-16T17:34:02.489492Z digest=sha256:835cff00c359b5800ea2801454756744ad556b033cebfad403c8cfbb790e9300