A Class of Unbounded Fourier Multipliers on the Unit Complex Ball

Pengtao Li, Jianhao Lv and Tao Qian

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

Abstract:

We introduce a class of Fourier multiplier operators on n -complex unit sphere, where the symbol . We obtained the Sobolev boundedness of . Our result implies that the operators take a role of fractional differential operators on .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:602121

DOI: 10.1155/2014/602121

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