The maximal regularity operator on tent spaces

Pascal Auscher; Sylvie Monniaux; Pierre Portal

doi:10.3934/cpaa.2012.11.2213

The maximal regularity operator on tent spaces

Pascal Auscher^*, Sylvie Monniaux, Pierre Portal

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

Recently, Auscher and Axelsson gave a new approach to nonsmooth boundary value problems with L² data, that relies on some appropriate weighted maximal regularity estimates. As part of the development of the corresponding L^p theory, we prove here the relevant weighted maximal estimates in tent spaces T^p'² for p in a certain open range. We also study the case p = ∞.

Original language	English
Pages (from-to)	2213-2219
Number of pages	7
Journal	Communications on Pure and Applied Analysis
Volume	11
Issue number	6
DOIs	https://doi.org/10.3934/cpaa.2012.11.2213
Publication status	Published - Nov 2012

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title = "The maximal regularity operator on tent spaces",

abstract = "Recently, Auscher and Axelsson gave a new approach to nonsmooth boundary value problems with L2 data, that relies on some appropriate weighted maximal regularity estimates. As part of the development of the corresponding Lp theory, we prove here the relevant weighted maximal estimates in tent spaces Tp'2 for p in a certain open range. We also study the case p = ∞.",

keywords = "Maximal regularity, Offdiagonal estimates, Singular integral operators, Tent spaces",

author = "Pascal Auscher and Sylvie Monniaux and Pierre Portal",

year = "2012",

month = nov,

doi = "10.3934/cpaa.2012.11.2213",

language = "English",

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T1 - The maximal regularity operator on tent spaces

AU - Auscher, Pascal

AU - Monniaux, Sylvie

AU - Portal, Pierre

PY - 2012/11

Y1 - 2012/11

N2 - Recently, Auscher and Axelsson gave a new approach to nonsmooth boundary value problems with L2 data, that relies on some appropriate weighted maximal regularity estimates. As part of the development of the corresponding Lp theory, we prove here the relevant weighted maximal estimates in tent spaces Tp'2 for p in a certain open range. We also study the case p = ∞.

AB - Recently, Auscher and Axelsson gave a new approach to nonsmooth boundary value problems with L2 data, that relies on some appropriate weighted maximal regularity estimates. As part of the development of the corresponding Lp theory, we prove here the relevant weighted maximal estimates in tent spaces Tp'2 for p in a certain open range. We also study the case p = ∞.

KW - Maximal regularity

KW - Offdiagonal estimates

KW - Singular integral operators

KW - Tent spaces

UR - http://www.scopus.com/inward/record.url?scp=84870614280&partnerID=8YFLogxK

U2 - 10.3934/cpaa.2012.11.2213

DO - 10.3934/cpaa.2012.11.2213

M3 - Article

SN - 1534-0392

VL - 11

SP - 2213

EP - 2219

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 6

ER -

The maximal regularity operator on tent spaces

Abstract

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