On Kato-Sobolev spaces

Details On Kato-Sobolev spaces On Kato-Sobolev spaces

2011-10-28

arxiv.org/abs/1110.6337v1

Mathematics

Analysis of PDEs

37 pages

Scientific paper

We investigate some multiplication properties of Kato-Sobolev spaces by adapting the techniques used in the study of Beurling algebras by Coifman and Meyer. We develop an analytic functional calculus for Kato-Sobolev algebras based on an integral representation formula belonging A. P. Calder\'{o}n. Also we study the Schatten-von Neumann properties of pseudo-differential operators with symbols in the Kato-Sobolev spaces.

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