A strong Lebesgue point property for Sobolev functions

2004/02/19 by Visa Latvala
Mathematics · #Nonlinear Partial Differential Equations #Mathematical Approximation and Integration #Advanced Harmonic Analysis Research

paper · pdf · doi:10.1090/s0002-9939-04-07358-7

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.

Citations

• The Wiener test and potential estimates for quasilinear elliptic equations

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