This article is cited in 16 papers

Absolute continuity of the Sobolev type functions on metric spaces

A. S. Romanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: Under study is the absolute continuity of the functions satisfying the Poincaré inequality on $s$-regular metric spaces.

Keywords: absolute continuity, Lorentz space, Poincaré inequality.

UDC: 517.51

Received: 29.12.2007

 English version: Siberian Mathematical Journal, 2008, 49:5, 911–918

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