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2014 A Class of Unbounded Fourier Multipliers on the Unit Complex Ball
Pengtao Li, Jianhao Lv, Tao Qian
Abstr. Appl. Anal. 2014: 1-8 (2014). DOI: 10.1155/2014/602121

Abstract

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

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Pengtao Li. Jianhao Lv. Tao Qian. "A Class of Unbounded Fourier Multipliers on the Unit Complex Ball." Abstr. Appl. Anal. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/602121

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022701
MathSciNet: MR3176758
Digital Object Identifier: 10.1155/2014/602121

Rights: Copyright © 2014 Hindawi

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