The maximal regularity operator on tent spaces
Copyright policy )The maximal regularity operator on tent spaces
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 $p=\infty$.
7 pages
- University of Lille France
- University of Paris-Saclay France
- Aix-Marseille University France
- University of Paris-Sud France
- Département de Mathématiques France
Singular integral operators, [MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA], Tent spaces, [MATH.MATH-CA] Mathematics [math]/Classical Analysis and ODEs [math.CA], Keywords: Maximal regularity, Functional Analysis (math.FA), Mathematics - Functional Analysis, Offdiagonal estimates, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Maximal regularity
Singular integral operators, [MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA], Tent spaces, [MATH.MATH-CA] Mathematics [math]/Classical Analysis and ODEs [math.CA], Keywords: Maximal regularity, Functional Analysis (math.FA), Mathematics - Functional Analysis, Offdiagonal estimates, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Maximal regularity
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