Fourier spectrum characterization of Hardy spaces and applications

Tao Qian; Yuesheng Xu; Dunyan Yan; Lixin Yan; Bo Yu

doi:10.1090/S0002-9939-08-09544-0

Fourier spectrum characterization of Hardy spaces and applications

Tao Qian^*, Yuesheng Xu, Dunyan Yan, Lixin Yan, Bo Yu

^*Corresponding author for this work

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

39 Citations (Scopus)

Abstract

We characterize in terms of Fourier spectrum the boundary values of functions in the complex Hardy spaces H^p(ℂ±), 1 ≤ p ≤∞. As an application we extend the Bedrosian identity, originally stated for square-integrable functions, to the L^p (ℝ)cases.

Original language	English
Pages (from-to)	971-980
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	137
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-08-09544-0
Publication status	Published - Mar 2009

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title = "Fourier spectrum characterization of Hardy spaces and applications",

abstract = "We characterize in terms of Fourier spectrum the boundary values of functions in the complex Hardy spaces Hp(ℂ±), 1 ≤ p ≤∞. As an application we extend the Bedrosian identity, originally stated for square-integrable functions, to the Lp (ℝ)cases.",

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AU - Qian, Tao

AU - Xu, Yuesheng

AU - Yan, Dunyan

AU - Yan, Lixin

AU - Yu, Bo

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AB - We characterize in terms of Fourier spectrum the boundary values of functions in the complex Hardy spaces Hp(ℂ±), 1 ≤ p ≤∞. As an application we extend the Bedrosian identity, originally stated for square-integrable functions, to the Lp (ℝ)cases.

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Fourier spectrum characterization of Hardy spaces and applications

Abstract

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