A strong Lebesgue point property for Sobolev functions

Latvala, Visa

doi:10.1090/S0002-9939-04-07358-7

A strong Lebesgue point property for Sobolev functions
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Proc. Amer. Math. Soc. 132 (2004), 2331-2338 Request permission

Abstract:

We show that first-order Sobolev functions fulfill a Wiener integral type Lebesgue point property outside a set of Sobolev capacity zero. Our condition is stronger than the standard Lebesgue point property, but the exceptional set is slightly larger.

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