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Paper Citation Record · LEDGER

Commutators of Hilbert transforms along monomial curves

As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1909.02118.

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

pith.paper-citation-record.v1
1909.02118 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:11:03.387739Z

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

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  • verified fuzzy8
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2792ea9a-6749-4cc1-9ff5-e661a794291b · outbound

This paper cites If T is an operator which is bounded between, e.g.

Commutators of Hilbert transforms along monomial curves If T is an operator which is bounded between, e.g

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:11:03.572902Z

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=2026-08-14T05:11:03.327450Z digest=sha256:be1ba2d1204c52ea6e686a705f0ccea64e109af3c22e39a61d23dc4a9723dd0b

Observation cfbb7a26-80d8-4df8-afcf-449cc6254213 · outbound

This paper cites Hence forth we write Lp :=Lp(R2) to shorten notation.

Commutators of Hilbert transforms along monomial curves Hence forth we write Lp :=Lp(R2) to shorten notation

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-14T05:11:03.563060Z

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=2026-08-14T05:11:03.332403Z digest=sha256:4e40b156f33779bc2265438d865fcb29aa7f3560d01eba31857fbceb29110d4f

Observation 098f5972-ff1a-415e-8b28-093ff796056f · outbound

This paper cites Recall that for a parabolic cube Q with dimensions ℓ(Q) ×ℓ(Q)2, we have defined a set EQ by EQ = {x −γ(t) : x ∈Q, 9ℓ(Q) ≤t ≤ 10ℓ(Q)}.

Commutators of Hilbert transforms along monomial curves Recall that for a parabolic cube Q with dimensions ℓ(Q) ×ℓ(Q)2, we have defined a set EQ by EQ = {x −γ(t) : x ∈Q, 9ℓ(Q) ≤t ≤ 10ℓ(Q)}

Reference 3

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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.

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Observation fd1292d2-c952-4fb7-903b-f6ccf658478c · outbound

This paper cites an unresolved cited work.

Commutators of Hilbert transforms along monomial curves Unresolved cited work

Reference 4

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unresolved
raw_fallback, observed 2026-08-14T05:11:03.541399Z

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=2026-08-14T05:11:03.341217Z digest=sha256:06d7869b61b338d84601aa6a2a5f90192b01b891b2a9bf615cc7ac774b404347

Observation 3ff80c34-b4a6-426d-8d78-214e74b4ea32 · outbound

This paper cites Definition 5.1.

Commutators of Hilbert transforms along monomial curves Definition 5.1

Reference 5

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verified fuzzy
raw_fallback, observed 2026-08-14T05:11:03.529161Z

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=2026-08-14T05:11:03.345181Z digest=sha256:a54d7ada33108d1341df55107a5749b5d27fd90d60dfbdb7cbb5062d050f90a6

Observation e8867cc6-f090-40dc-9536-df02e30aca39 · outbound

This paper cites Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach.

Commutators of Hilbert transforms along monomial curves Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach

Reference 6

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verified exact
local_arxiv, observed 2026-08-14T05:11:03.442357Z

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=2026-08-14T05:11:03.351329Z digest=sha256:caffb522646d14b643d1bca07f34ed15426d6c2ccdbef4b8bee7197a5c8ebeea

Observation 600178b5-6041-4273-aa4d-d37eb0caa91c · outbound

This paper cites Sharp weighted norm estimates beyond Calder´ on-Zygmund theory.Anal.

Commutators of Hilbert transforms along monomial curves Sharp weighted norm estimates beyond Calder´ on-Zygmund theory.Anal

Reference 7

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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=2026-08-14T05:11:03.356587Z digest=sha256:887f1b0f9686a6216bce42a36ddf00cbd59ba4761efa07e5fe9c0a6cfc96ddb6

Observation edfc477a-d5c6-4ffa-9a7a-4d74119e682a · outbound

This paper cites Sparse domination of Hilbert transforms along curves.

Commutators of Hilbert transforms along monomial curves Sparse domination of Hilbert transforms along curves

Reference 8

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raw_fallback, observed 2026-08-14T05:11:03.506490Z

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=2026-08-14T05:11:03.363310Z digest=sha256:70fc60b2215313261a3764edaab798f9519304f00b6a6ef7ff1f645f387eddc4

Observation 4313d6d0-7f87-494c-838f-e6f19765046f · outbound

This paper cites an unresolved cited work.

Commutators of Hilbert transforms along monomial curves Unresolved cited work

Reference 9

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unresolved
raw_fallback, observed 2026-08-14T05:11:03.495983Z

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=2026-08-14T05:11:03.367687Z digest=sha256:4557eb8bd10161a44e703b944531041b915c42fb9d0eb357aa167dc7b871c32b

Observation f6ddb30f-56d9-4d65-80ed-7cdde2fed42b · outbound

This paper cites Fourier analysis , volume 29 of Graduate Studies in Mathematics.

Commutators of Hilbert transforms along monomial curves Fourier analysis , volume 29 of Graduate Studies in Mathematics

Reference 10

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verified fuzzy
raw_fallback, observed 2026-08-14T05:11:03.484363Z

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=2026-08-14T05:11:03.371626Z digest=sha256:8a41db916a221d1af1019f39fbb58d5ce66b61388e9b7dff9df00917b50e6c04

Observation acd22fd4-dc3b-47c7-8761-322a22f7cd5a · outbound

This paper cites Shar p reverse H¨ older property for A∞ weights on spaces of homogeneous type.

Commutators of Hilbert transforms along monomial curves Shar p reverse H¨ older property for A∞ weights on spaces of homogeneous type

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:11:03.473216Z

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=2026-08-14T05:11:03.375468Z digest=sha256:773538128477ee1f25b78bd583ca2bdec34731871475285cc2292127f7f41600

Observation 9ffd647b-e1fa-4471-b6f2-bc50e2aa3513 · outbound

This paper cites The L^p-to-L^q boundedness of commutators with applications to the Jacobian operator.

Commutators of Hilbert transforms along monomial curves The L^p-to-L^q boundedness of commutators with applications to the Jacobian operator

Reference 12

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verified exact
local_arxiv, observed 2026-08-14T05:11:03.427102Z

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=2026-08-14T05:11:03.379954Z digest=sha256:fc4b60d30db38f06fc3cf9046ede892e23e02d3c73880c2f765b461c7c66cc4b

Observation 38b978c2-8de1-420f-9145-80d6527d7471 · outbound

This paper cites an unresolved cited work.

Commutators of Hilbert transforms along monomial curves Unresolved cited work

Reference 13

Resolution
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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=2026-08-14T05:11:03.384014Z digest=sha256:a8f19913bea62d9153d08b7e022cf60ace8d97dd2ee80be7ab4f2db35d5280a5

Observation 0b3217ea-e6db-45bf-907f-effeeab816a5 · outbound

This paper cites an unresolved cited work.

Commutators of Hilbert transforms along monomial curves Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:11:03.453146Z

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=2026-08-14T05:11:03.387739Z digest=sha256:37d748b748f9d52e8ae1de250a466c88dc4954836aaafa534a9187a532714a71

Pith citing papers

No inbound Pith citation observations are available.