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Paper Citation Record · LEDGER

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

As of 22 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:41.412875Z digest=sha256:8ce4f958d6172499b6b700297c3c42621055c93df0109ea337b9aa6296a05422

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=sha256:12be6b11ef521ffac0a8ffbfedbcf7d40ae50017c53daf0ae90e0188cc25aaa0

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:41.560550Z digest=sha256:1d05893560dcaa8172274d7fa25e63d57b5d698ff52bad0af9eeee659813128a

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:41.654115Z digest=sha256:7694a7775f0c5fd2e25a6df3d76c92327676066f2d461b95e29d892cc7f96e53

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:41.718861Z digest=sha256:304d7525547e2dbddaf30e81ac519acb42452e75049b429a282ce1a7fe2bffc6

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:41.762893Z digest=sha256:dfa280a47e17331e7006f7a859c96d3885b75e7e51636f9f7b043e26dcc591d2

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:41.854759Z digest=sha256:d8247a55112c0e1b1c6c08070c4692434cb406b61e506362e7d6c2c6484fb1be

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:41.911375Z digest=sha256:5906dc93bc282a8b8e9ea2894828fe8d18672fe03dd23d1a9800c50e6a0dbe50

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:42.008614Z digest=sha256:512a766b5ab8297101ccdddda285a6199e5960335b7df30211791df686c1d686

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:42.057759Z digest=sha256:09db813078832821101d2a76c1686f6d11dc4b9d39365afee92db57ece9ffe6b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:42.140767Z digest=sha256:73682834f505c1492975e79df06253a3b4d226d9b25de485c80bdb526f954303

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:42.205736Z digest=sha256:e503c8ceb9afb3f26247a8117e10acca4348616bb371093cde0727ae37826f96

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:42.273001Z digest=sha256:02debc8ad3a73ad2de7da9b4090cc8b7b2288e1165114b87468ec6aac8e34cae

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:42.339620Z digest=sha256:8e8d07dd3f9b9778b9dc2503690cf21eab0e86809534d6c53dbc5798c21c4098

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:42.395521Z digest=sha256:b875b77e36b2320147f572e1b0e41da9e0bea75925c841fc0a4c2f47d7879446

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:42.449306Z digest=sha256:bc44ba2b1e7b3e26b028d21639156d4b63a7c1c8fc722ec7c1e3ed8bf32c5c9a

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:42.539143Z digest=sha256:6cc9ff437d82d4cd407c03c915cbb8e2435298faa316a276c2de47c39f80d84b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:42.575917Z digest=sha256:abbef85a5f689413f6329ed8ebff0211ad5332ce12f25c25c2b81d361adb43ea

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:dd49e331e3a509de7e5bb64351637eb43459346062a79b86a693924f0b026613

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:06:42.722082Z digest=sha256:a229786586c632b6b496fd4c49e76ed59a759413224a78bdfc8e3c7e5f552076

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-16T17:34:02.489492Z digest=sha256:90f70170c685f68fe3d1feea8f9de37bf5c2cd1ba2146f53a785e6bf761c32a6