Sobolev and Besov Classes on Infinite-Dimensional Spaces

V. I. Bogachev

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Theory of Functions of Several Real Variables and Its Applications, Tome 323 (2023), pp. 65-86.

Résumé

We discuss various definitions of Sobolev and Besov classes on infinite-dimensional spaces, give a survey of the results on coincidence of some of these classes, and obtain a number of new results.

Détail

Keywords: Sobolev space, Gaussian measure, differentiable measure.
Mots-clés : Besov space

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