Cargando…
The Riesz transform of codimension smaller than one and the Wolff energy /
"Fix d [greater than or equal to] 2, and s [epsilon] (d - 1, d). We characterize the non-negative locally finite non-atomic Borel measures [mu] in Rd for which the associated s-Riesz transform is bounded in L²([mu]) in terms of the Wolff energy. This extends the range of s in which the Mateu-Pr...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
[2020]
|
| Colección: | Memoirs of the American Mathematical Society,
number 1293 |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_on1194962995 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 200911t20202020riu ob 000 0 eng d | ||
| 040 | |a UIU |b eng |e rda |e pn |c UIU |d YDX |d N$T |d EBLCP |d OCLCF |d OCLCQ |d OCLCO |d UKAHL |d K6U |d OCLCO |d OCL |d GZM |d OCLCQ |d OCLCO |d OCLCL |d S9M |d OCLCL | ||
| 020 | |a 1470462494 | ||
| 020 | |a 9781470462499 |q (electronic bk.) | ||
| 020 | |z 9781470442132 |q (paperback) | ||
| 020 | |z 1470442132 | ||
| 029 | 1 | |a AU@ |b 000069468540 | |
| 029 | 1 | |a AU@ |b 000069397490 | |
| 035 | |a (OCoLC)1194962995 | ||
| 050 | 4 | |a QA403 |b .J38 2020 | |
| 082 | 0 | 4 | |a 515/.785 |2 23 |
| 084 | |a 42B37 |a 31B15 |2 msc | ||
| 049 | |a UAMI | ||
| 100 | 1 | |a Jaye, Benjamin, |d 1984- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjw8bBrxHKGgxfmhXmDdDC | |
| 245 | 1 | 4 | |a The Riesz transform of codimension smaller than one and the Wolff energy / |c Benjamin Jaye, Fedor Nazorov, Maria Carmen Reguera, Xavier Tolsa. |
| 264 | 1 | |a Providence, RI : |b American Mathematical Society, |c [2020] | |
| 264 | 4 | |c ©2020 | |
| 300 | |a 1 online resource (v, 110 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 0 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v number 1293 | |
| 500 | |a "Forthcoming, volume 266, number 1293." | ||
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a The general scheme : finding a large Lipschitz oscillation coefficient -- Upward and downward domination -- Preliminary results regarding reflectionless measures -- The basic energy estimates -- Blow up I : The density drop -- The choice of the shell -- Blow up II : doing away with [epsilon] -- Localization around the shell -- The scheme -- Suppressed kernels -- Step I : Calderón-Zygmund theory (from a distribution to an Lp-function) -- Step II : The smoothing operation -- Step III : The variational argument -- Contradiction. | |
| 520 | |a "Fix d [greater than or equal to] 2, and s [epsilon] (d - 1, d). We characterize the non-negative locally finite non-atomic Borel measures [mu] in Rd for which the associated s-Riesz transform is bounded in L²([mu]) in terms of the Wolff energy. This extends the range of s in which the Mateu-Prat-Verdera characterization of measures with bounded s-Riesz transform is known. As an application, we give a metric characterization of the removable sets for locally Lipschitz continuous solutions of the fractional Laplacian operator ( -[delta])[infinity]/2, [infinity] [epsilon] (1, 2), in terms of a well-known capacity from non-linear potential theory. This result contrasts sharply with removability results for Lipschitz harmonic functions"-- |c Provided by publisher | ||
| 588 | 0 | |a Description based on print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Harmonic analysis. | |
| 650 | 0 | |a Lipschitz spaces. | |
| 650 | 0 | |a Laplacian operator. | |
| 650 | 0 | |a Calderón-Zygmund operator. | |
| 650 | 0 | |a Potential theory (Mathematics) | |
| 650 | 0 | |a Potential theory (Physics) | |
| 650 | 6 | |a Analyse harmonique. | |
| 650 | 6 | |a Espaces de Lipschitz. | |
| 650 | 6 | |a Laplacien. | |
| 650 | 6 | |a Opérateur de Calderón-Zygmund. | |
| 650 | 6 | |a Théorie du potentiel. | |
| 650 | 7 | |a Análisis armónico |2 embne | |
| 650 | 0 | 7 | |a Potencial, Teoría del (Matemáticas) |2 embucm |
| 650 | 7 | |a Potential theory (Physics) |2 fast | |
| 650 | 7 | |a Calderón-Zygmund operator |2 fast | |
| 650 | 7 | |a Harmonic analysis |2 fast | |
| 650 | 7 | |a Laplacian operator |2 fast | |
| 650 | 7 | |a Lipschitz spaces |2 fast | |
| 650 | 7 | |a Potential theory (Mathematics) |2 fast | |
| 650 | 7 | |a Harmonic analysis on Euclidean spaces |x Harmonic analysis in several variables {For automorphic theory, see mainly 11F30} |x Harmonic analysis and PDE [See also 35-XX]. |2 msc | |
| 650 | 7 | |a Potential theory {For probabilistic potential theory, see 60J45} |x Higher-dimensional theory |x Potentials and capacities, extremal length. |2 msc | |
| 700 | 1 | |a Nazorov, Fedor |q (Fedya L'vovich), |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjGWXXfWgrDDDjW4HVpYrm | |
| 700 | 1 | |a Reguera, Maria Carmen, |d 1981- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjr7BB9pXVmVF6ChKGyJH3 | |
| 700 | 1 | |a Tolsa, Xavier, |e author. | |
| 758 | |i has work: |a The Riesz transform of codimension smaller than one and the Wolff energy (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGrccXg7jpymDjH37BWrC3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Jaye, Benjamin, 1984- |t Riesz transform of codimension smaller than one and the Wolff energy |z 9781470442132 |w (DLC) 2020032234 |w (OCoLC)1160026854 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=6346626 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH38606892 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL6346626 | ||
| 938 | |a EBSCOhost |b EBSC |n 2618169 | ||
| 938 | |a YBP Library Services |b YANK |n 301522943 | ||
| 994 | |a 92 |b IZTAP | ||