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A class of Fourier multipliers on starlike Lipschitz surfaces |
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| Authors: | Pengtao Li Ieng Tak Leong |
| Institution: | 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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