Real, complex and functional analysis

Sobolev-type functions on nonhomogeneous metric spaces

A. S. Romanov<sup>ab

a</sup> Sobolev Institute of Mathematics, 4, Koptyuga ave., 630090, Novosibirsk, Russia
^b Novosibirsk State University, 2, Pirogova str., 630090, Novosibirsk, Russia

Abstract: We consider analogs of classical embedding theorems for function classes of Sobolev type on nonhomogeneous metric measure spaces.

Keywords: metric, measure, embedding theorems.

UDC: 517.51

MSC: 46E35

Received January 17, 2020, published May 21, 2020

Language: English

DOI: 10.33048/semi.2020.17.047

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