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

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

9 引文斯高帕斯（Scopus）

摘要

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.

原文	???core.languages.en_GB???
頁（從 - 到）	269-291
頁數	23
期刊	Analysis and Applications
卷	12
發行號	3
DOIs	https://doi.org/10.1142/S0219530514500043
出版狀態	已出版 - 5月 2014

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10.1142/S0219530514500043

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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\}",

note = "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",

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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 - https://www.scopus.com/pages/publications/84899054138

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

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