\((L^p,L^q)\) estimates for multilinear oscillatory singular integrals with smooth phases.
type: Item
instance of: scholarly article
title: \((L^p,L^q)\) estimates for multilinear oscillatory singular integrals with smooth phases.
zbMATH Open document ID: 1047.42013
author: Gui Ping Tao
author: Shanzhen Lu
publication date: 2003-01-01T00:00:00Z
review text: In this paper, the authors establish the weighted \((L^p, L^q)\) estimates for a class of multilinear oscillatory singular integrals with smooth phase, where \(1<p, q<\infty\). Certain endpoint estimates for \(p=\infty\) are also given. The multilinear singular integrals are a generalization of the classical Calderón-Zygmund singular integrals.
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 2032501
zbMATH Keywords: multilinear oscillatory singular integral
zbMATH Keywords: Lebesgue space
zbMATH Keywords: weight
zbMATH Keywords: BMO
reviewed by: Dachun Yang
MaRDI profile type: Publication
full work available at URL: s10114-003-0258-2
OpenAlex ID: W2059166371
cites work: Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
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cites work: Q5572634
cites work: A remark on multilinear singular integrals with rough kernels.
cites work: On a multilinear oscillatory singular integral operator. I
cites work: Weighted \((L^p,L^q)\) estimates for multilinear oscillatory singular integrals
cites work: On a class of multilinear oscillatory singular integral operators
cites work: Q4722537
DOI: 10.1007/S10114-003-0258-2
published in: Acta Mathematica Sinica, English Series
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description: scientific article; zbMATH DE number 2032501