Characterization of BMO in terms of rearrangement-invariant Banach function spaces

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Abstract

The atomic decomposition of Hardy spaces by atoms defined by rearrangement-invariant Banach function spaces is proved in this paper. Using this decomposition, we obtain the characterizations of BMO and Lipschitz spaces by rearrangement-invariant Banach function spaces. We also provide the sharp function characterization of the rearrangement-invariant Banach function spaces. Copyright © 2009 Elsevier.
Original languageEnglish
Pages (from-to)363-372
JournalExpositiones Mathematicae
Volume27
Issue number4
DOIs
Publication statusPublished - 2009

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Banach Function Space
Rearrangement
Invariant
BMO Space
Lipschitz Spaces
Atomic Decomposition
Hardy Space
Decompose

Citation

Ho, K. P. (2009). Characterization of BMO in terms of rearrangement-invariant Banach function spaces. Expositiones Mathematicae, 27(4), 363-372.