A class of unbounded Fourier multipliers on the unit complex ball
type: Item
instance of: scholarly article
title: A class of unbounded Fourier multipliers on the unit complex ball
zbMATH Open document ID: 1474.42046
DOI: 10.1155/2014/602121
author: Pengtao Li
author: Jianhao Lv
author: Tao Qian
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We introduce a class of Fourier multiplier operators \(M_b\) on \(n\)-complex unit sphere, where the symbol \(b \in H^s(S_\omega)\). We obtained the Sobolev boundedness of \(M_b\). Our result implies that the operators \(M_b\) take a role of fractional differential operators on \(\partial \mathbb{B}\).
Mathematics Subject Classification ID: 42B15
Mathematics Subject Classification ID: 42B20
zbMATH DE Number: 7022701
MaRDI profile type: Publication
Wikidata QID: Q59039861
full work available at URL: https://doi.org/10.1155/2014/602121
OpenAlex ID: W2072700883
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cites work: Fourier analysis on starlike Lipschitz surfaces
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description: scientific article; zbMATH DE number 7022701