Differentiation bases for Sobolev functions on metric spaces
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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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Harjulehto, Petteri; and Kinnunen, J. “Differentiation bases for Sobolev functions on metric spaces”. Publicacions Matemàtiques, vol.VOL 48, no. 2, pp. 381-95, https://raco.cat/index.php/PublicacionsMatematiques/article/view/38102.
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