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The maximal regularity operator on tent spaces

Auscher, Pascal; Monniaux, Sylvie; Portal, Pierre

Description

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 = ∞.

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
URI: http://hdl.handle.net/1885/71695
Source: Communications on Pure and Applied Mathematics
DOI: 10.3934/cpaa.2012.11.2213

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