Generalizations of Sobolev classes to the metric and topological cases

N. N. Romanovskii

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2024), pp. 97-104

Résumé

The paper proposes an approach that makes it possible to describe in the same way classical Sobolev spaces, various generalizations of classical Sobolev spaces for functions defined on a metric or topological space and for functions with values in a metric or topological space, as well as spaces of functions that satisfy certain differential relations.

Détail

Keywords: Sobolev class, metric space, topological space.

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