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.
Regularity of the fractional maximal function.Bull
2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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The fractional spherical maximal function and its lacunary counterpart satisfy restricted weak type estimates at the boundary of their L^p-L^q boundedness regions.
citing papers explorer
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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.
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Boundary estimates for the fractional spherical maximal function
The fractional spherical maximal function and its lacunary counterpart satisfy restricted weak type estimates at the boundary of their L^p-L^q boundedness regions.