Removability of Hölder graphs for continuous sobolev functions

2010/06/10 by Nicolae Tecu, Tecu, Nicolae
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Metric Geometry (math.MG) #math.CA #math.MG

paper · pdf · doi:10.48550/arxiv.1006.2152

11 pages, 1 figure

arxiv created 2010/06/10 · arxiv updated 2010/06/14

Abstract

We characterize the removability of Hölder-α graphs with respect to continuous Sobolev W^1,2 functions. For α> 2/3 these graphs are removable, while for α<2/3 there exist graphs which are not removable.

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