The natural maximal operator on BMO

DOI10.1090/S0002-9939-01-05896-8zbMath0982.42011MaRDI QIDQ2723487

Winston Ou

Publication date: 5 July 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

boundednessBMOHardy-Littlewood maximal operatorbounded mean oscillationbounded lower oscillationBLO

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items

Fractional maximal functions and mean oscillation on bounded doubling metric measure spaces ⋮ The discrete maximal operator in metric spaces ⋮ Near-symmetry in 𝐴_{∞} and refined Jones factorization ⋮ Limiting conditions of Muckenhoupt and reverse Hölder classes on metric measure spaces ⋮ BMO-boundedness of the maximal operator for arbitrary measures ⋮ \(h^1\), bmo, blo and Littlewood-Paley \(g\)-functions with non-doubling measures ⋮ Geometric maximal operators and BMO on product bases ⋮ The $\boldsymbol {\mathrm {BMO}}\boldsymbol {\rightarrow }\boldsymbol {\mathrm {BLO}}$ action of the maximal operator on $\boldsymbol \alpha $-trees ⋮ Embeddings of weighted Morrey spaces

Cites Work

• Weak-\(L^\infty\) and BMO
• Another Characterization of BMO
• The Structure of the Reverse Holder Classes
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