On Kato-Sobolev type spaces

Abstract

We study an increasing family of spaces ${{\mathcal{B}}_k^p}_{1\le p\le \infty }$ by adapting the techniques used in the study of Beurling algebras by Coifman and Meyer (1978). A weak form Wiener-Levy theorem is proved based on an integral representation formula belonging A. P. Calderón. Also we study the Schatten-von Neumann properties of pseudo-differential operators with symbols in the spaces $\mathcal{B}$ spaces.

arXiv admin note: text overlap with arXiv:1110.6337

References in corpus (1)

• On Kato-Sobolev spaces