Lp boundedness of some rough operators with different weights

Yong Ding; Chin Cheng Lin

doi:10.2969/jmsj/1196890850

Lp boundedness of some rough operators 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

5 引文斯高帕斯（Scopus）

摘要

In this paper we prove that the maximal operator M_Ω, the singular integral operator T_Ω, and the maximal singular integral operator T_Ω with rough kernels are all bounded operators from Lp(v) to Lp(u) for the weight functions pair (u;v). Here the kernel function Ω satisfies a size condition only; that is, Ω ∈ Lp(Sn-1), q > 1, but has no smoothness on Sn-1.

原文	???core.languages.en_GB???
頁（從 - 到）	209-230
頁數	22
期刊	Journal of the Mathematical Society of Japan
卷	55
發行號	1
DOIs	https://doi.org/10.2969/jmsj/1196890850
出版狀態	已出版 - 2003

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10.2969/jmsj/1196890850

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AB - In this paper we prove that the maximal operator MΩ, the singular integral operator TΩ, and the maximal singular integral operator TΩ with rough kernels are all bounded operators from Lp(v) to Lp(u) for the weight functions pair (u;v). Here the kernel function Ω satisfies a size condition only; that is, Ω ∈ Lp(Sn-1), q > 1, but has no smoothness on Sn-1.

KW - A weight

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KW - rough kernel

KW - singular integral

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Lp boundedness of some rough operators with different weights

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