This article is cited in 1 paper

On finite Lipschitz Orlicz–Sobolev classes

R. R. Salimov

Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev, Ukraine

Abstract: It is found a sufficient condition of finite Lipschitz of homeomorphisms of the Orlicz–Sobolev class $W_\mathrm{loc}^{1,\varphi}$ under a condition of the Calderon type.

Key words: finitely Lipschitz mapping, $p$-modulus, $p$-capacity, Orlicz–Sobolev class, Orlicz space, lower $Q$-homeomorphism, mappings of finite distortion.

UDC: 517.5

Received: 23.10.2014