A. V. Menovshchikov, “Composition operators in Orlicz–Sobolev spaces”, Sibirsk. Mat. Zh., 2016, Volume 57, Number 5,Pages <nobr>1088

This article is cited in 5 papers

Composition operators in Orlicz–Sobolev spaces

A. V. Menovshchikov^ab

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

Abstract: We obtain necessary and sufficient conditions for a homeomorphism of domains in a Euclidean space to generate a bounded embedding operator of the Orlicz–Sobolev spaces defined by a special class of $N$-functions.

Keywords: composition operator, Orlicz–Sobolev space, $N$-function.

UDC: 517.518+517.54

Received: 28.12.2015

DOI: 10.17377/smzh.2016.57.514