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arXiv · 1306.6503

Sobolev spaces, Lebesgue points and maximal functions

Piotr Hajlasz·Zhuomin Liu
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Abstract

In this note we study boundedness of a large class of maximal operators in Sobolev spaces that includes the spherical maximal operator. We also study the size of the set of Lebesgue points with respect to convergence associated with such maximal operators.

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Piotr Hajlasz, Zhuomin Liu. 2013-06-27. Sobolev spaces, Lebesgue points and maximal functions. https://arxiv.org/abs/1306.6503

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