Revistes Catalanes amb Accés Obert (RACO)

Differentiation bases for Sobolev functions on metric spaces

Petteri Harjulehto, J. Kinnunen


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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