Interpolation, Embeddings and Traces of Anisotropic Fractional Sobolev Spaces with Temporal Weights
نویسنده
چکیده
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 Lp-regularity for parabolic initial-boundary value problems. Our main tools are operators with a bounded H∞-calculus, interpolation theory, and operator sums.
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