UM
Hilbert transforms on the sphere with the Clifford algebra setting
Qian T.1; Yang Y.2
2009-12-01
Source PublicationJournal of Fourier Analysis and Applications
ISSN1069-5869
Volume15Issue:6Pages:753-774
Abstract

Through a double-layer potential argument the inner and outer Poisson kernels, the Cauchy-type conjugate inner and outer Poisson kernels, and the kernels of the Cauchy-type inner and outer Hilbert transformations on the sphere are deduced. We also obtain Abel sum expansions of the kernels and prove the L-boundedness of the inner and outer Hilbert transformations for 1

KeywordCauchy Singular Integral Clifford Analysis Conjugate Poisson Kernel Double-layer Potential Hilbert Transformation Poisson Kernel Schwarz Kernel
DOIhttps://doi.org/10.1007/s00041-009-9062-4
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000272531800001
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Cited Times [WOS]:8   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.Faculty of Science and Technology, University of Macau, Av. Padre Tomas Pereira, S.J., Taipa, Macao, China
2.School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, China
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Qian T.,Yang Y.. Hilbert transforms on the sphere with the Clifford algebra setting[J]. Journal of Fourier Analysis and Applications,2009,15(6):753-774.
APA Qian T.,&Yang Y..(2009).Hilbert transforms on the sphere with the Clifford algebra setting.Journal of Fourier Analysis and Applications,15(6),753-774.
MLA Qian T.,et al."Hilbert transforms on the sphere with the Clifford algebra setting".Journal of Fourier Analysis and Applications 15.6(2009):753-774.
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