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arXiv · 1202.3870

Interpolation, embeddings and traces of anisotropic fractional Sobolev spaces with temporal weights

Martin Meyries·Roland Schnaubelt
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Abstract

We investigate the properties of a class of weighted vector-valued $L_p$-spaces and the corresponding (an)isotropic Sobolev-Slobodetskii spaces. These spaces arise naturally in the context of maximal $L_p$-regularity for parabolic initial-boundary value problems. Our main tools are operators with a bounded $\calH^\infty$-calculus, interpolation theory, and operator sums.

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Martin Meyries, Roland Schnaubelt. 2012-02-17. Interpolation, embeddings and traces of anisotropic fractional Sobolev spaces with temporal weights. https://arxiv.org/abs/1202.3870

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