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A class of Fourier multipliers on starlike Lipschitz surfaces
Li P.1; Leong I.T.2; Qian T.2
2011-09-15
Source PublicationJournal of Functional Analysis
ISSN00221236 10960783
Volume261Issue:6Pages:1415-1445
Abstract

In this paper, we consider a class of Fourier multipliers whose symbols are controlled by a polynomial on starlike Lipschitz surfaces and get the L2 boundedness of these operators on Sobolev spaces and their endpoint estimates. 

KeywordClifford Analysis Fourier Multiplier Monogenic Function Singular Integral Starlike Lipschitz Surface
DOI10.1016/j.jfa.2011.05.008
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000292430500002
Scopus ID2-s2.0-79959546492
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Citation statistics
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorLi P.
Affiliation1.Department of Mathematics, Shantou University, Shantou, Guangdong 515063, China
2.Department of Mathematics, FST, University of Macau, PO Box 3001, Macau, China
Recommended Citation
GB/T 7714
Li P.,Leong I.T.,Qian T.. A class of Fourier multipliers on starlike Lipschitz surfaces[J]. Journal of Functional Analysis, 2011, 261(6), 1415-1445.
APA Li P.., Leong I.T.., & Qian T. (2011). A class of Fourier multipliers on starlike Lipschitz surfaces. Journal of Functional Analysis, 261(6), 1415-1445.
MLA Li P.,et al."A class of Fourier multipliers on starlike Lipschitz surfaces".Journal of Functional Analysis 261.6(2011):1415-1445.
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