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Removability of Hölder graphs for continuous sobolev functions
Published 10 Jun 2010 in math.CA and math.MG | (1006.2152v1)
Abstract: We characterize the removability of H\"older-$\alpha$ graphs with respect to continuous Sobolev $W{1,2}$ functions. For $\alpha > 2/3$ these graphs are removable, while for $\alpha <2/3$ there exist graphs which are not removable.
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