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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2014 Volume 55, Number 1, Pages 178–194 (Mi smj2523)
This article is cited in 3 papers

Sobolev-type functions with variable integrability exponent on metric measure spaces

A. S. Romanovab

a Novosibirsk State University, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: We consider various embedding theorems for Sobolev-type function classes with variable integrability exponent on a metric space.

Keywords: metric space, measure, Sobolev-type function, embedding theorems.

UDC: 517.51

Received: 01.04.2013


 English version: Siberian Mathematical Journal, 2014, 55:1, 142–155

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© Steklov Math. Inst. of RAS, 2026