On Kato-Sobolev spaces. The Wiener-L\'evy theorem for Kato-Sobolev algebras Huls

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. Calder\'on.

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