On Kato-Sobolev spaces
Analysis of PDEs
2011-10-31 v1 Functional Analysis
Abstract
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.
Cite
@article{arxiv.1110.6337,
title = {On Kato-Sobolev spaces},
author = {Gruia Arsu},
journal= {arXiv preprint arXiv:1110.6337},
year = {2011}
}
Comments
37 pages