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arXiv · 1011.1748

The maximal regularity operator on tent spaces

Pascal Auscher·Sylvie Monniaux·Pierre Portal
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Abstract

Recently, Auscher and Axelsson gave a new approach to non-smooth boundary value problems with $L^{2}$ 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 $p=\infty$.

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Pascal Auscher, Sylvie Monniaux, Pierre Portal. 2010-11-08. The maximal regularity operator on tent spaces. https://arxiv.org/abs/1011.1748

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