On a conjecture of E. M. Stein on the Hilbert transform on vector fields:
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Providence, R.I.
American Math. Soc.
2010
|
Schriftenreihe: | Memoirs of the American Mathematical Society
965 |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Volume 205, Number 965 (fourth of 5 numbers) Includes bibliographical references |
Beschreibung: | VIII, 72 S. graph. Darst. |
ISBN: | 9780821845400 |
Internformat
MARC
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100 | 1 | |a Lacey, Michael T. |d 1959- |e Verfasser |0 (DE-588)141173009 |4 aut | |
245 | 1 | 0 | |a On a conjecture of E. M. Stein on the Hilbert transform on vector fields |c Michael Lacey ; Xiaochun Li |
264 | 1 | |a Providence, R.I. |b American Math. Soc. |c 2010 | |
300 | |a VIII, 72 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Memoirs of the American Mathematical Society |v 965 | |
500 | |a Volume 205, Number 965 (fourth of 5 numbers) | ||
500 | |a Includes bibliographical references | ||
700 | 1 | |a Li, Xiaochun |d 1963- |e Verfasser |0 (DE-588)139947566 |4 aut | |
830 | 0 | |a Memoirs of the American Mathematical Society |v 965 |w (DE-604)BV008000141 |9 965 | |
856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020305598&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
999 | |a oai:aleph.bib-bvb.de:BVB01-020305598 |
Datensatz im Suchindex
_version_ | 1804142911620644864 |
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adam_text | Contents
Preface
vii
Chapter
1.
Overview of principal results
1
Chapter
2.
Besicovitch set and Carleson s Theorem
7
Besicovitch set
7
The Kakeya maximal function
8
Carleson s Theorem
8
The weak L2 estimate in Theorem
1.15
is sharp
9
Chapter
3.
The Lipschitz Kakeya maximal function
11
The weak I? estimate
11
An obstacle to an Lp estimate, for
1 <
ρ
< 2 20
Bourgain s geometric condition
21
Vector fields that are a function of one variable
24
Chapter
4.
The L2 estimate
27
Definitions and principal Lemmas
27
Truncation and an alternate model sum
31
Proofs of Lemmata
34
Chapter
5.
Almost orthogonality between
annuii
51
Application of the Fourier localization Lemma
51
The Fourier localization estimate
64
References
71
|
any_adam_object | 1 |
author | Lacey, Michael T. 1959- Li, Xiaochun 1963- |
author_GND | (DE-588)141173009 (DE-588)139947566 |
author_facet | Lacey, Michael T. 1959- Li, Xiaochun 1963- |
author_role | aut aut |
author_sort | Lacey, Michael T. 1959- |
author_variant | m t l mt mtl x l xl |
building | Verbundindex |
bvnumber | BV036433074 |
ctrlnum | (OCoLC)699769917 (DE-599)BVBBV036433074 |
dewey-full | 515.2433 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.2433 |
dewey-search | 515.2433 |
dewey-sort | 3515.2433 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV036433074 |
illustrated | Illustrated |
indexdate | 2024-07-09T22:39:17Z |
institution | BVB |
isbn | 9780821845400 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020305598 |
oclc_num | 699769917 |
open_access_boolean | |
owner | DE-355 DE-BY-UBR DE-29T DE-83 |
owner_facet | DE-355 DE-BY-UBR DE-29T DE-83 |
physical | VIII, 72 S. graph. Darst. |
publishDate | 2010 |
publishDateSearch | 2010 |
publishDateSort | 2010 |
publisher | American Math. Soc. |
record_format | marc |
series | Memoirs of the American Mathematical Society |
series2 | Memoirs of the American Mathematical Society |
spelling | Lacey, Michael T. 1959- Verfasser (DE-588)141173009 aut On a conjecture of E. M. Stein on the Hilbert transform on vector fields Michael Lacey ; Xiaochun Li Providence, R.I. American Math. Soc. 2010 VIII, 72 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 965 Volume 205, Number 965 (fourth of 5 numbers) Includes bibliographical references Li, Xiaochun 1963- Verfasser (DE-588)139947566 aut Memoirs of the American Mathematical Society 965 (DE-604)BV008000141 965 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020305598&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Lacey, Michael T. 1959- Li, Xiaochun 1963- On a conjecture of E. M. Stein on the Hilbert transform on vector fields Memoirs of the American Mathematical Society |
title | On a conjecture of E. M. Stein on the Hilbert transform on vector fields |
title_auth | On a conjecture of E. M. Stein on the Hilbert transform on vector fields |
title_exact_search | On a conjecture of E. M. Stein on the Hilbert transform on vector fields |
title_full | On a conjecture of E. M. Stein on the Hilbert transform on vector fields Michael Lacey ; Xiaochun Li |
title_fullStr | On a conjecture of E. M. Stein on the Hilbert transform on vector fields Michael Lacey ; Xiaochun Li |
title_full_unstemmed | On a conjecture of E. M. Stein on the Hilbert transform on vector fields Michael Lacey ; Xiaochun Li |
title_short | On a conjecture of E. M. Stein on the Hilbert transform on vector fields |
title_sort | on a conjecture of e m stein on the hilbert transform on vector fields |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020305598&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV008000141 |
work_keys_str_mv | AT laceymichaelt onaconjectureofemsteinonthehilberttransformonvectorfields AT lixiaochun onaconjectureofemsteinonthehilberttransformonvectorfields |