Weighted norm inequalities for multilinear singular integral operators and applications

Guoen Hu; Chin Cheng Lin

doi:10.1142/S0219530514500043

Weighted norm inequalities for multilinear singular integral operators and applications

Guoen Hu, Chin Cheng Lin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

In this paper, weighted norm inequalities with A_p weights are established for the multilinear singular integral operators whose kernels satisfy certain L^r′-Hörmander regularity condition. As applications, we recover a weighted estimate for the multilinear Fourier multiplier obtained by Fujita and Tomita, and obtain several new weighted estimates for the multilinear Fourier multiplier as well.

Original language	English
Pages (from-to)	269-291
Number of pages	23
Journal	Analysis and Applications
Volume	12
Issue number	3
DOIs	https://doi.org/10.1142/S0219530514500043
State	Published - May 2014

Keywords

Multilinear singular integral operator
multilinear Fourier multiplier

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10.1142/S0219530514500043

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title = "Weighted norm inequalities for multilinear singular integral operators and applications",

abstract = "In this paper, weighted norm inequalities with Ap weights are established for the multilinear singular integral operators whose kernels satisfy certain Lr′-H{\"o}rmander regularity condition. As applications, we recover a weighted estimate for the multilinear Fourier multiplier obtained by Fujita and Tomita, and obtain several new weighted estimates for the multilinear Fourier multiplier as well.",

keywords = "Multilinear singular integral operator, multilinear Fourier multiplier",

author = "Guoen Hu and Lin, {Chin Cheng}",

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T1 - Weighted norm inequalities for multilinear singular integral operators and applications

AU - Hu, Guoen

AU - Lin, Chin Cheng

N1 - Funding Information: The authors would like to thank Professor N. Tomita for helpful discussion and giving preprints [6, 8, 15] to the authors. This research of the first author was supported

PY - 2014/5

Y1 - 2014/5

N2 - In this paper, weighted norm inequalities with Ap weights are established for the multilinear singular integral operators whose kernels satisfy certain Lr′-Hörmander regularity condition. As applications, we recover a weighted estimate for the multilinear Fourier multiplier obtained by Fujita and Tomita, and obtain several new weighted estimates for the multilinear Fourier multiplier as well.

AB - In this paper, weighted norm inequalities with Ap weights are established for the multilinear singular integral operators whose kernels satisfy certain Lr′-Hörmander regularity condition. As applications, we recover a weighted estimate for the multilinear Fourier multiplier obtained by Fujita and Tomita, and obtain several new weighted estimates for the multilinear Fourier multiplier as well.

KW - Multilinear singular integral operator

KW - multilinear Fourier multiplier

UR - http://www.scopus.com/inward/record.url?scp=84899054138&partnerID=8YFLogxK

U2 - 10.1142/S0219530514500043

DO - 10.1142/S0219530514500043

M3 - 期刊論文

AN - SCOPUS:84899054138

SN - 0219-5305

VL - 12

SP - 269

EP - 291

JO - Analysis and Applications

JF - Analysis and Applications

IS - 3

ER -

Weighted norm inequalities for multilinear singular integral operators and applications

Abstract

Keywords

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