Pointwise inequalities for Sobolev functions and some applications
Volume 106 / 1993
Studia Mathematica 106 (1993), 77-92
DOI: 10.4064/sm-106-1-77-92
Abstract
We get a class of pointwise inequalities for Sobolev functions. As a corollary we obtain a short proof of Michael-Ziemer's theorem which states that Sobolev functions can be approximated by $C^m$ functions both in norm and capacity.
