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A strong Lebesgue point property for Sobolev functions |
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| Authors: | Visa Latvala |
| Affiliation: | Department of Mathematics, University of Joensuu, P.O. Box 111, 80101 Joensuu, Finland |
| 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. |
| Keywords: | Sobolev functions Lebesgue points capacity |
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