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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Hajłasz, P., Liu, Z. Sobolev spaces, Lebesgue points and maximal functions. J. Fixed Point Theory Appl. 13, 259–269 (2013). https://doi.org/10.1007/s11784-013-0111-x
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DOI: https://doi.org/10.1007/s11784-013-0111-x