UM
Fourier Spectrum Characterizations of H-p Spaces on Tubes Over Cones for 1 <= p <= infinity
Li, Hai-Chou; Deng, Guan-Tie; Qian, Tao
2018-06
Source PublicationCOMPLEX ANALYSIS AND OPERATOR THEORY
ISSN1661-8254
Volume12Issue:5Pages:1193-1218
AbstractWe give Fourier spectrum characterizations of functions in the Hardy spaces on tubes for For we show that F is the non-tangential boundary limit of a function in a Hardy space, where is an open cone of and is the related tube in if and only if the classical or the distributional Fourier transform of F is supported in where is the dual cone of This generalizes the results of Stein and Weiss for in the same context, as well as those of Qian et al. in one complex variable for Furthermore, we extend the Poisson and Cauchy integral representation formulas to the spaces on tubes for and with, respectively, the two types of representations.
KeywordHardy spaces Fourier transform Tube domain Fourier spectrum Integral representation
DOI10.1007/s11785-017-0737-6
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000432152600003
PublisherSPRINGER BASEL AG
The Source to ArticleWOS
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Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Recommended Citation
GB/T 7714
Li, Hai-Chou,Deng, Guan-Tie,Qian, Tao. Fourier Spectrum Characterizations of H-p Spaces on Tubes Over Cones for 1 <= p <= infinity[J]. COMPLEX ANALYSIS AND OPERATOR THEORY,2018,12(5):1193-1218.
APA Li, Hai-Chou,Deng, Guan-Tie,&Qian, Tao.(2018).Fourier Spectrum Characterizations of H-p Spaces on Tubes Over Cones for 1 <= p <= infinity.COMPLEX ANALYSIS AND OPERATOR THEORY,12(5),1193-1218.
MLA Li, Hai-Chou,et al."Fourier Spectrum Characterizations of H-p Spaces on Tubes Over Cones for 1 <= p <= infinity".COMPLEX ANALYSIS AND OPERATOR THEORY 12.5(2018):1193-1218.
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