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A class of Fourier multipliers on starlike Lipschitz surfaces
Authors:Pengtao Li  Ieng Tak Leong
Affiliation:a Department of Mathematics, Shantou University, Shantou, Guangdong 515063, China
b Department of Mathematics, FST, University of Macau, PO Box 3001, Macau, China
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.
Keywords:Clifford analysis   Fourier multiplier   Singular integral   Starlike Lipschitz surface   Monogenic function
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