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Fourier spectrum characterization of Hardy spaces and applications
Qian T.1; Xu Y.2; Yan D.3; Yan L.4; Yu B.5
2009
Source PublicationProceedings of the American Mathematical Society
ISSN29939
Volume137Issue:3Pages:971
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. 

DOI10.1090/S0002-9939-08-09544-0
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000261153200024
The Source to ArticleScopus
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Cited Times [WOS]:33   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Department of Mathematics, Faculty of Science and Technology, University of Macau, Macao, China SAR
2.Department of Mathematics, Syracuse University, Syracuse, New York 12344
3.School of Information Science and Engineering, The Graduate University of the Chinese Academy of Sciences, Beijing 100080, People’s Republic of China
4.Department of Mathematics, Zhongshan University, Guangzhou 510275, People’s Republic of China
5.Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, People’s Republic of China
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Qian T.,Xu Y.,Yan D.,et al. Fourier spectrum characterization of Hardy spaces and applications[J]. Proceedings of the American Mathematical Society,2009,137(3):971.
APA Qian T.,Xu Y.,Yan D.,Yan L.,&Yu B..(2009).Fourier spectrum characterization of Hardy spaces and applications.Proceedings of the American Mathematical Society,137(3),971.
MLA Qian T.,et al."Fourier spectrum characterization of Hardy spaces and applications".Proceedings of the American Mathematical Society 137.3(2009):971.
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