Revistes Catalanes amb Accés Obert (RACO)

Differentiation bases for Sobolev functions on metric spaces

Petteri Harjulehto, J. Kinnunen
DOI: 38102


We study Lebesgue points for Sobolev functions over other collections of sets than balls. Our main result gives several conditions for a differentiation basis, which characterize the existence of Lebesgue points outside a set of capacity zero.

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