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Bibliographic Details
Main Author: Shaabani, Shahaboddin
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2302.13723
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Table of Contents:
  • 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.