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

Department of Mathematics

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

1 Scopus citations

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.

Original language	English
Pages (from-to)	2159-2169
Number of pages	11
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	72
Issue number	5
DOIs	https://doi.org/10.1016/j.na.2009.10.003
State	Published - 1 Mar 2010

Keywords

Marcinkiewicz integral
Rough kernel
Weights pair

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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

Abstract

Keywords

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