Paper Citation Record · LEDGER

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields

As of 16 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:1908.06728.

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

pith.paper-citation-record.v1
1908.06728 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:48:33.027705Z

measured 29 of 29 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

29 of 29 outbound references displayed

verified exact0
verified fuzzy23
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b810aee3-8187-4b17-83fa-33931106822a · outbound

This paper cites an unresolved cited work.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:48:34.384021Z

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.

Observation a16c631d-39d5-4255-88b0-6a02aac6dddb · outbound

This paper cites Ambrosio, A.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Ambrosio, A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:34.367707Z

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.

Observation 5165758d-623f-4049-84af-bda5a35905ab · outbound

This paper cites Ambrosio, S.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Ambrosio, S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:34.351475Z

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.

Observation 9c37467b-0c5d-4c43-9d01-a2ea4db9046c · outbound

This paper cites Bahouri, J.-Y.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Bahouri, J.-Y

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:34.235844Z

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.

Observation a52be158-9c2c-4c7d-883d-ff847489c55a · outbound

This paper cites Bahouri, J.-Y.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Bahouri, J.-Y

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:34.161940Z

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.

Observation 15af8317-ea47-4c75-a7d9-7d71e145e457 · outbound

This paper cites Bahouri, J.-Y.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Bahouri, J.-Y

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:34.145241Z

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.

Observation 5d4462cb-8d82-45f0-8dbe-2da3b4616a1a · outbound

This paper cites Bahouri, A.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Bahouri, A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:34.129144Z

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.

Observation 5a798cf2-f8ff-4da0-94f9-01f4b6791d7f · outbound

This paper cites Bahouri, C.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Bahouri, C

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:34.112015Z

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.

Observation f6f77743-b54c-4e3f-ae3b-1d3db518fa26 · outbound

This paper cites Bella ¨ ıche.The tangent space in sub-Riemannian geometry, in Sub-Riemannian Geometry.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Bella ¨ ıche.The tangent space in sub-Riemannian geometry, in Sub-Riemannian Geometry

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:34.062493Z

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.

Observation 657c319c-afb7-457e-81d6-25675ac31a66 · outbound

This paper cites Ciatti, M.G.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Ciatti, M.G

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:33.896059Z

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.

Observation 66083fac-6aca-42dd-9abd-4496efb3f7c0 · outbound

This paper cites D’Ambrosio.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields D’Ambrosio

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:33.851746Z

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.

Observation 69a3ef62-a288-43cb-842d-c74baf993462 · outbound

This paper cites an unresolved cited work.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:48:33.833764Z

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.

Observation a0d67092-1ef2-46ab-b0a5-d76ef7b0f727 · outbound

This paper cites Folland, E.M.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Folland, E.M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:33.814644Z

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.

Observation 6e395584-5ac1-43c8-a81d-ca3520a0bb17 · outbound

This paper cites Garofalo, E.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Garofalo, E

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:33.796071Z

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.

Observation e099051c-7acf-4d09-b733-428ec568acb7 · outbound

This paper cites an unresolved cited work.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:48:33.778833Z

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.

Observation 0e93f229-e1ac-4066-9790-75b39f20531e · outbound

This paper cites an unresolved cited work.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:48:33.662566Z

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.

Observation 24b11508-9e4f-4997-8736-75966e0cb1cc · outbound

This paper cites Hardy, J.E.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Hardy, J.E

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:33.610019Z

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.

Observation 694a394e-ba84-4147-80bf-f167747016bd · outbound

This paper cites Hormander.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Hormander

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:33.591642Z

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.

Observation 3d6977c7-5784-4b44-b462-d53e39a4db20 · outbound

This paper cites Klarsfeld, J.A.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Klarsfeld, J.A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:33.572097Z

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.

Observation 0e3a6264-4deb-4f78-92e1-c0383ae7d966 · outbound

This paper cites an unresolved cited work.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:48:33.555360Z

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.

Observation f8f25fd8-02c9-4b14-a01a-3739287603ac · outbound

This paper cites Krugljak, L.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Krugljak, L

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:33.537884Z

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.

Observation 09e61e1f-e38c-4bce-b523-fd65de2feb31 · outbound

This paper cites Montgomery.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Montgomery

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:33.512274Z

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.

Observation 5cadf72e-05ce-4762-8333-1722a6bfc782 · outbound

This paper cites Mustapha, F.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Mustapha, F

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:33.348782Z

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.

Observation 3cd606b3-a39d-42aa-a45a-593f4e0c407b · outbound

This paper cites an unresolved cited work.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:48:33.266629Z

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.

Observation 55226c5a-9c09-4a23-8ff8-cc480069fb57 · outbound

This paper cites Reutenauer.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Reutenauer

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:33.249106Z

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.

Observation 4147f220-0f9a-40e4-893e-f16d329a20cd · outbound

This paper cites Rossmann.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Rossmann

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:33.227264Z

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.

Observation 86fdac55-21ec-4aa8-8e98-6719aec0a320 · outbound

This paper cites Ruzhanskya, D.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Ruzhanskya, D

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:33.154248Z

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.

Observation 0f54360a-333d-4579-a424-0f9f2a7dd984 · outbound

This paper cites Vigneron.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Vigneron

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:33.083738Z

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.

Observation 2b2ed270-ada9-4b9a-a9ed-45a580a1d830 · outbound

This paper cites Vigneron.

A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields Vigneron

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:33.067140Z

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.

Pith citing papers

No inbound Pith citation observations are available.