Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591474 | Journal of Functional Analysis | 2012 | 30 Pages |
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 Lp-regularity for parabolic initial-boundary value problems. Our main tools are operators with a bounded H∞-calculus, interpolation theory, and operator sums.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory