Singular integrals with rough kernels in L log L(Sn-1)

Ahmad Al-Salman; Yibiao Pan

doi:10.1112/S0024610702003241

Singular integrals with rough kernels in L log L(S^n-1)

Ahmad Al-Salman^*, Yibiao Pan

^*Corresponding author for this work

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

88 Citations (Scopus)

Abstract

A systematic treatment is given of several classes of singular integrals. Their L^p boundedness is proved when their kernels are given by functions Ω in L log L(S^n-1).

Original language	English
Pages (from-to)	153-174
Number of pages	22
Journal	Journal of the London Mathematical Society
Volume	66
Issue number	1
DOIs	https://doi.org/10.1112/S0024610702003241
Publication status	Published - Aug 2002
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "Singular integrals with rough kernels in L log L(Sn-1)",

abstract = "A systematic treatment is given of several classes of singular integrals. Their Lp boundedness is proved when their kernels are given by functions Ω in L log L(Sn-1).",

author = "Ahmad Al-Salman and Yibiao Pan",

note = "Funding Information: Received 4 September 2000; revised 16 July 2001. 2000 Mathematics Subject Classi cation 42B20 (primary), 42B15, 42B25 (secondary). The second author was supported in part by a grant from the US National Science Foundation.",

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doi = "10.1112/S0024610702003241",

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AU - Al-Salman, Ahmad

AU - Pan, Yibiao

N1 - Funding Information: Received 4 September 2000; revised 16 July 2001. 2000 Mathematics Subject Classi cation 42B20 (primary), 42B15, 42B25 (secondary). The second author was supported in part by a grant from the US National Science Foundation.

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N2 - A systematic treatment is given of several classes of singular integrals. Their Lp boundedness is proved when their kernels are given by functions Ω in L log L(Sn-1).

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Singular integrals with rough kernels in L log L(S^n-1)

Abstract

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