On null sets of Sobolev–Orlicz capacities

Jani Joensuu

doi:10.1215/ijm/1258554357

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Home > Journals > Illinois J. Math. > Volume 52 > Issue 4 > Article

Winter 2008 On null sets of Sobolev–Orlicz capacities

Jani Joensuu

Illinois J. Math. 52(4): 1195-1211 (Winter 2008). DOI: 10.1215/ijm/1258554357

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Abstract

This paper considers sufficient conditions for a Young function of type $t^{p} \varphi(t)$, with $p$ greater than one, so that certain Sobolev–Orlicz capacities have the same null sets. Examples of such Young functions are given too.