Singular integrals on product domains

A. Al-Salman; H. Al-Qassem; Y. Pan

doi:10.1512/iumj.2006.55.2626

Singular integrals on product domains

A. Al-Salman^*, H. Al-Qassem, Y. Pan

^*Corresponding author for this work

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

22 Citations (Scopus)

Abstract

This paper is concerned with singular integral operators on product domains with rough kernels in L(logL)². We prove, among other things, L ^p bounds (1 < p < ∞) for such singular integral operators as well as for their corresponding maximal truncated singular integrals. We also establish the optimality of our condition in the sense that the space L(logL)² cannot be replaced by L(logL)^r for any r < 2. Indiana University Mathematics Journal

Original language	English
Pages (from-to)	369-387
Number of pages	19
Journal	Indiana University Mathematics Journal
Volume	55
Issue number	1
DOIs	https://doi.org/10.1512/iumj.2006.55.2626
Publication status	Published - 2006
Externally published	Yes

Keywords

Product domains
Rough kernels
Singular integrals

ASJC Scopus subject areas

Mathematics(all)

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10.1512/iumj.2006.55.2626

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AU - Al-Qassem, H.

AU - Pan, Y.

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AB - This paper is concerned with singular integral operators on product domains with rough kernels in L(logL)2. We prove, among other things, L p bounds (1 < p < ∞) for such singular integral operators as well as for their corresponding maximal truncated singular integrals. We also establish the optimality of our condition in the sense that the space L(logL)2 cannot be replaced by L(logL)r for any r < 2. Indiana University Mathematics Journal

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KW - Rough kernels

KW - Singular integrals

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Singular integrals on product domains

Abstract

Keywords

ASJC Scopus subject areas

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