Singular Integrals Along Flat Curves with Kernels in the Hardy Space H1(S n-1)

Ahmad Al-Salman () and Hussain Al-Qassem ()
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Ahmad Al-Salman: Yarmouk University
Hussain Al-Qassem: Yarmouk University

A chapter in Factorization, Singular Operators and Related Problems, 2003, pp 1-12 from Springer

Abstract: Abstract We study singular integral operators along subvarieties determined by flat curves and kernels in the Hardy space H 1 (S n−1). We prove that these operators are bounded on L p for all p ∈ (1, ∞). Our results extend previously known results.

Keywords: Singular integrals; rough kernels; maximal functions; and Hardy space. (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0227-0_1

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DOI: 10.1007/978-94-017-0227-0_1

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