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

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

2010-10-05

arxiv.org/abs/1010.0815v1

Mathematics

Functional Analysis

Scientific paper

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\'{o}n.

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