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, issue 1

Abstract: We introduce a class of Fourier multiplier operators Mb on n‐complex unit sphere, where the symbol b ∈ Hs(Sω). We obtained the Sobolev boundedness of Mb. Our result implies that the operators Mb take a role of fractional differential operators on ∂𝔹.

Date: 2014
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https://doi.org/10.1155/2014/602121

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:602121

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