Title of article
Interpolation, embeddings and traces of anisotropic fractional Sobolev spaces with temporal weights
Author/Authors
Martin Meyries، نويسنده , , Roland Schnaubelt، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
30
From page
1200
To page
1229
Abstract
We investigate the properties of a class of weighted vector-valued Lp-spaces and the corresponding
(an)isotropic Sobolev–Slobodetskii spaces. These spaces arise naturally in the context of maximal Lpregularity
for parabolic initial-boundary value problems. Our main tools are operators with a bounded H∞-
calculus, interpolation theory, and operator sums.
© 2011 Elsevier Inc. All rights reserved
Keywords
Anisotropic fractional Sobolev spaces , interpolation , Polynomial weights , BoundedH?-calculus , traces , Operator sums , Embeddings
Journal title
Journal of Functional Analysis
Serial Year
2012
Journal title
Journal of Functional Analysis
Record number
840640
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