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arXiv · 2302.13723

Maximal operators on BMO and slices

Shahaboddin Shaabani
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Abstract

We prove that the Hardy-Littlewood maximal operator is discontinuous on $\bmorn$ and maps $\vmorn$ to itself. A counterexample to boundedness of the strong and directional maximal operators on $\bmorn$ is given, and properties of slices of $\bmorn$ functions are discussed.

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Shahaboddin Shaabani. 2023-02-27. Maximal operators on BMO and slices. https://arxiv.org/abs/2302.13723

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