A wavelet characterization for the dual of weighted Hardy spaces

Ming Yi Lee; Chin Cheng Lin; Ying Chieh Lin

doi:10.1090/S0002-9939-09-10044-8

A wavelet characterization for the dual of weighted Hardy spaces

Ming Yi Lee, Chin Cheng Lin, Ying Chieh Lin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

We define the weighted Carleson measure space CMO_w^p using wavelets, where the weight function w belongs to the Muckenhoupt class. Then we show that CMO_w^p is the dual space of the weighted Hardy space H_w^p by using sequence spaces. As an application, we give a wavelet characterization of BMO_w.

Original language	English
Pages (from-to)	4219-4225
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	137
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9939-09-10044-8
State	Published - Nov 2009

Keywords

BMO
Orthonormal wavelets
Weighted Carleson measure spaces
Weighted Hardy spaces

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10.1090/S0002-9939-09-10044-8

Cite this

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AB - We define the weighted Carleson measure space CMOwp using wavelets, where the weight function w belongs to the Muckenhoupt class. Then we show that CMOwp is the dual space of the weighted Hardy space Hwp by using sequence spaces. As an application, we give a wavelet characterization of BMOw.

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KW - Weighted Hardy spaces

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A wavelet characterization for the dual of weighted Hardy spaces

Abstract

Keywords

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