This article is cited in 3 papers

Real, complex and functional analysis

The Holder continuity of Sobolev functions on the hypersurfaces

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 discuss some of the problems associated with the Holder continuity of traces of Sobolev functions on hypersurfaces.

Keywords: Sobolev space, embedding theorem, Hausdorff measure, p-module.

UDC: 517.51

MSC: 46E35

Received March 3, 2016, published August 13, 2016

DOI: 10.17377/semi.2016.13.049