Geodesic
Maximal operators on BMO and slices
Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 94-107

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DOI

We prove that the uncentered Hardy–Littlewood maximal operator is discontinuous on ${BMO}(\mathbb {R}^n)$ and maps ${VMO}(\mathbb {R}^n)$ to itself. A counterexample to the boundedness of the strong and directional maximal operators on ${BMO}(\mathbb {R}^n)$ is given, and properties of slices of ${BMO}(\mathbb {R}^n)$ functions are discussed.
DOI : 10.4153/S000843952300053X
Mots-clés : Maximal operators, BMO, VMO 
Shaabani, Shahaboddin. Maximal operators on BMO and slices. Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 94-107. doi: 10.4153/S000843952300053X
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     doi = {10.4153/S000843952300053X},
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