This article is cited in 1 paper

Real, complex and functional analysis

The composition operators in Sobolev spaces with variable exponent of summability

A. S. Romanov<sup>ab

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

Abstract: We consider some problems associated with the exchange of a variable in Sobolev spaces with a variable exponent of summability.

Keywords: Sobolev space, embedding theorem, variable exponent of summability.

UDC: 517.51

MSC: 46E35

Received July 22, 2017, published August 17, 2017

DOI: 10.17377/semi.2017.14.067

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