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Paper Citation Record · LEDGER

Compactness of composition operator on weighted Bergman spaces of the polydisc

As of 17 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2606.29969.

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

pith.paper-citation-record.v1
2606.29969 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T04:23:07.685564Z

measured 14 of 14 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

14 of 14 outbound references displayed

  • verified exact5
  • verified fuzzy0
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5e4f99d3-11dc-45d3-9aab-fbf9d6f1edc4 · outbound

This paper cites Bayart, Composition operators on the polydisk induced by affine maps , J.

Compactness of composition operator on weighted Bergman spaces of the polydisc Bayart, Composition operators on the polydisk induced by affine maps , J

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-30T04:23:07.685564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T04:23:07.685564Z digest=sha256:d517074643f1e6cacacf45dbe3f3e06b281969e253de32cf1920219a71b8e928

Observation ae8785a4-5bcc-49c0-bb86-d2e7f68b63dc · outbound

This paper cites Composition operators on the Hardy space of the tridisc.

Compactness of composition operator on weighted Bergman spaces of the polydisc Composition operators on the Hardy space of the tridisc

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-01T15:15:47.451275Z

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.

source=pdf_text observed=2026-06-30T04:23:07.685564Z digest=sha256:c5e5183756ff37505b711286d9d78df0b43dd5848cf0b936a3efd72c5f4bb34e

Observation 42756021-3a52-4acb-b419-9ae6b39aaeed · outbound

This paper cites MR unavailable.

Compactness of composition operator on weighted Bergman spaces of the polydisc MR unavailable

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-07-01T15:15:47.447849Z

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.

source=pdf_text observed=2026-06-30T04:23:07.685564Z digest=sha256:5e64b669fd436e7b41833ab4659422000435c333456c4f6de5e3a309351aa0af

Observation 15fd1c15-7a84-4dab-acc9-3765716d8b0e · outbound

This paper cites Beslikas, A note on composition operators on the disc and bidisc , Canadian Math.

Compactness of composition operator on weighted Bergman spaces of the polydisc Beslikas, A note on composition operators on the disc and bidisc , Canadian Math

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-30T04:23:07.685564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T04:23:07.685564Z digest=sha256:5400f0a5ce940fe46931954e8f5db042934bb2eb2cb6caafe340c84fcd511e7b

Observation 665a9d04-13f2-4aed-98bd-28048e659a3a · outbound

This paper cites Composition operators and Rational Inner Functions on the bidisc.

Compactness of composition operator on weighted Bergman spaces of the polydisc Composition operators and Rational Inner Functions on the bidisc

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-07-01T15:15:47.453700Z

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.

source=pdf_text observed=2026-06-30T04:23:07.685564Z digest=sha256:fbe199a2f8b58065fab9f5012c38fd20d5c87c7a3da2f75df9b6dec9a977d47f

Observation dce631dc-f27f-4dc2-aa44-ded7382ea6b3 · outbound

This paper cites Composition Operators and Rational Inner Functions II: Boundedness between two different Bergman Spaces.

Compactness of composition operator on weighted Bergman spaces of the polydisc Composition Operators and Rational Inner Functions II: Boundedness between two different Bergman Spaces

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-07-01T15:15:47.458659Z

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.

source=pdf_text observed=2026-06-30T04:23:07.685564Z digest=sha256:566622b6932df379c35ea967c1aa804a00cb947cd5d657d6570e845f118443b7

Observation 5edbffa7-f73b-47aa-ab2b-bec87b7543e8 · outbound

This paper cites Composition operators and Rational Inner Functions on the bidisc: A geometric approach.

Compactness of composition operator on weighted Bergman spaces of the polydisc Composition operators and Rational Inner Functions on the bidisc: A geometric approach

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-07-01T15:15:47.456289Z

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.

source=pdf_text observed=2026-06-30T04:23:07.685564Z digest=sha256:43f3c22fe4a6135c716ac16c90ad5574c71f1b5d4b2c9145e8c8bbfb143b7404

Observation de2cb089-8502-4e63-9f2f-93f0509df49a · outbound

This paper cites Clos, ˇZ.

Compactness of composition operator on weighted Bergman spaces of the polydisc Clos, ˇZ

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-30T04:23:07.685564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T04:23:07.685564Z digest=sha256:48fa788e49c8070826d266ebd490f5f59b8aded1a9efdcde43a63546280203f8

Observation bffb3e4b-e7e1-4f17-8fb9-d8e245a7ee45 · outbound

This paper cites Cowen and B.

Compactness of composition operator on weighted Bergman spaces of the polydisc Cowen and B

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-30T04:23:07.685564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T04:23:07.685564Z digest=sha256:cd6366a285dd660767c19e1259d1085301f47eecca47734d52794f978d901736

Observation 9b93aebc-0cd0-4f62-b643-48b35877de3d · outbound

This paper cites Jafari, Carleson measures in Hardy and weighted Bergman spaces of polydiscs , Proc.

Compactness of composition operator on weighted Bergman spaces of the polydisc Jafari, Carleson measures in Hardy and weighted Bergman spaces of polydiscs , Proc

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-30T04:23:07.685564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T04:23:07.685564Z digest=sha256:0a1c1942e672cc5344aa39a2e282bcb3dc4252326f0e6820c62be2a4d1feefdd

Observation 91c75179-0ede-4ad8-8543-fa9f42d3cc43 · outbound

This paper cites an unresolved cited work.

Compactness of composition operator on weighted Bergman spaces of the polydisc Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-30T04:23:07.685564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T04:23:07.685564Z digest=sha256:5f9873ef3a10037425251fc5fa61513a38f175f9f18a20bc373706459003bb39

Observation b5e7652f-1554-4beb-af4c-2bd9af24874f · outbound

This paper cites Shapiro, Composition Operators and Classical Function Theory , Springer, 1993.

Compactness of composition operator on weighted Bergman spaces of the polydisc Shapiro, Composition Operators and Classical Function Theory , Springer, 1993

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-30T04:23:07.685564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T04:23:07.685564Z digest=sha256:705a877d6e9973b3d0181e193fff8d71579f7384569df290abff5fb9fc0ac8ca

Observation 270be288-19ae-4e42-866d-a9b63a3c6a06 · outbound

This paper cites Stessin and K.

Compactness of composition operator on weighted Bergman spaces of the polydisc Stessin and K

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-30T04:23:07.685564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T04:23:07.685564Z digest=sha256:8e8fdcc0d28162ef56e7012a63f9838d86970421f47834bf9c25d91ff448cd49

Observation 8bb01def-9a13-4996-8e65-c75f7ec84a0a · outbound

This paper cites an unresolved cited work.

Compactness of composition operator on weighted Bergman spaces of the polydisc Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-30T04:23:07.685564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-30T04:23:07.685564Z digest=sha256:100f76ecedfd07d2665c4cef184c76d9f1e6b83b81be7c0654b248de2e6480c0

Pith citing papers

No inbound Pith citation observations are available.