On Kato-Sobolev spaces. The Wiener-Lévy theorem for Kato-Sobolev algebras $\mathcal{H}_{\mathtt{ul}}^{s}$

Gruia Arsu

paper

On Kato-Sobolev spaces. The Wiener-Lévy theorem for Kato-Sobolev algebras $H_{ul}^{s}$

arXiv:1010.0815

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. Also we develop an analytic functional calculus for Kato-Sobolev algebras based on an integral representation formula belonging A. P. Calderón.

On Kato-Sobolev spaces. The Wiener-Lévy theorem for Kato-Sobolev algebras Huls​

Abstract

On Kato-Sobolev spaces. The Wiener-Lévy theorem for Kato-Sobolev algebras $H_{ul}^{s}$