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A capacitary weak type inequality for Sobolev functions and its applications
Authors:Wei-Shyan Tai
Affiliation:Department of Mathematics, National Chung Cheng University, Mingshiung, Chai Yi 61117, Taiwan, R.O.C.
Abstract:

In this paper a capacitary weak type inequality for Sobolev functions is established and is applied to reprove some well-known results concerning Lebesgue points, Taylor expansions in the $L^p$-sense, and the Lusin type approximation of Sobolev functions.

Keywords:Sobolev functions   Riesz capacities   Lusin type properties
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