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Pointwise multipliers of weighted BMO spaces

Name: Pointwise multipliers of weighted BMO spaces
Creator: Kôzô Yabuta
Keywords: Maximal functions, Littlewood-Paley theory, Singular and oscillatory integrals (Calderón-Zygmund, etc.), 4. Education, weighted bounded mean oscillation, weighted Hardy spaces, BMO spaces, 0101 mathematics, Multipliers for harmonic analysis in several variables, 01 natural sciences, \(H^p\)-spaces

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1993Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 117, pages 737-744 (issn: 0002-9939, eissn: 1088-6826,

Authors: Kôzô Yabuta;

doi: 10.1090/s0002-9939-1993-1123671-x , 10.2307/2159136

Pointwise multipliers of weighted BMO spaces

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Abstract

In a recent paper by S. Bloom (Pointwise multipliers of weighted B M O BMO spaces, Proc. Amer. Math. Soc. 105 (1989), 950-960), there are some inaccuracies. In this note, we give a counterexample to his "theorem" and a corrected form with proof under a suitable condition on weights. We also give some remarks and examples.

Keywords

Maximal functions, Littlewood-Paley theory, Singular and oscillatory integrals (Calderón-Zygmund, etc.), weighted bounded mean oscillation, weighted Hardy spaces, BMO spaces, Multipliers for harmonic analysis in several variables, \(H^p\)-spaces, pointwise multipliers

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