Weighted boundedness for rough Marcinkiewicz integrals with different weights

Yong Ding; Chin Cheng Lin

doi:10.1016/j.na.2009.10.003

Weighted boundedness for rough Marcinkiewicz integrals with different weights

Yong Ding
, Chin Cheng Lin

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

1 引文斯高帕斯（Scopus）

摘要

In this paper the authors give the weighted boundedness of the Marcinkiewicz integral operators for different weight functions, where the kernel functions of the operators discussed here are without smoothness not only on the sphere but also in the radial direction.

原文	???core.languages.en_GB???
頁（從 - 到）	2159-2169
頁數	11
期刊	Nonlinear Analysis, Theory, Methods and Applications
卷	72
發行號	5
DOIs	https://doi.org/10.1016/j.na.2009.10.003
出版狀態	已出版 - 1 3月 2010

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10.1016/j.na.2009.10.003

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title = "Weighted boundedness for rough Marcinkiewicz integrals with different weights",

abstract = "In this paper the authors give the weighted boundedness of the Marcinkiewicz integral operators for different weight functions, where the kernel functions of the operators discussed here are without smoothness not only on the sphere but also in the radial direction.",

keywords = "Marcinkiewicz integral, Rough kernel, Weights pair",

author = "Yong Ding and Lin, \{Chin Cheng\}",

note = "Funding Information: The authors are grateful to the referee for invaluable suggestions. Research by the first author was supported by NSF of China under Grant \#10931001. Research by the second author was supported by NSC of Taiwan under Grant \#NSC 97-2115-M-008-021-MY3 as well as being supported by NCTS of Taiwan. ",

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AU - Ding, Yong

AU - Lin, Chin Cheng

N1 - Funding Information: The authors are grateful to the referee for invaluable suggestions. Research by the first author was supported by NSF of China under Grant #10931001. Research by the second author was supported by NSC of Taiwan under Grant #NSC 97-2115-M-008-021-MY3 as well as being supported by NCTS of Taiwan.

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N2 - In this paper the authors give the weighted boundedness of the Marcinkiewicz integral operators for different weight functions, where the kernel functions of the operators discussed here are without smoothness not only on the sphere but also in the radial direction.

AB - In this paper the authors give the weighted boundedness of the Marcinkiewicz integral operators for different weight functions, where the kernel functions of the operators discussed here are without smoothness not only on the sphere but also in the radial direction.

KW - Marcinkiewicz integral

KW - Rough kernel

KW - Weights pair

UR - https://www.scopus.com/pages/publications/72649083649

U2 - 10.1016/j.na.2009.10.003

DO - 10.1016/j.na.2009.10.003

M3 - 期刊論文

AN - SCOPUS:72649083649

SN - 0362-546X

VL - 72

SP - 2159

EP - 2169

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5

ER -

Weighted boundedness for rough Marcinkiewicz integrals with different weights

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