A translation-invariant Banach space is constructed on which the non-classical maximal operator M^diamond is bounded but the sharp maximal operator M^sharp is not.
Endpoint Sobolev continuity of the fractional maximal function in higher dimensions.Int
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A Banach space that distinguishes two maximal operators
A translation-invariant Banach space is constructed on which the non-classical maximal operator M^diamond is bounded but the sharp maximal operator M^sharp is not.