On Kato-Sobolev type spaces
  We study an increasing family of spaces ${\mathcal{B}_{k}^{p}}_{1\leq p\leq \infty}$ 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. Calder\'{o}n. Also we study the Schatten-von Neumann properties of pseudo-differential operators with symbols in the spaces $\mathcal{B}%_{k}^{p} $ spaces. 
Gruia Arsu
math.AP math.FA