Boundedness of singular integrals along surfaces on Lebesgue spaces

In the paper, we establish the L p (ℝ n +1 )-boundedness for a class of singular integral operators associated to surfaces of revolution “( y, γ (| y |), y ∈ ℝ n ” with rough kernels. We also give several applications of this inequality.

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Bibliographic Details
Published inApplied Mathematics-A Journal of Chinese Universities Vol. 25; no. 2; pp. 192 - 198
Main Authors Zhang, Yan-dan, Chen, Jie-cheng, Zhang, Chun-jie
Format Journal Article
LanguageEnglish
Published Heidelberg SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities 01.06.2010
Subjects
Applications of Mathematics
Mathematics
Mathematics and Statistics
42B25
surfaces
42B20
Singular integrals
Plancherel’s theorem
oscillatory singular integrals
rough kernels
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Summary:In the paper, we establish the L p (ℝ n +1 )-boundedness for a class of singular integral operators associated to surfaces of revolution “( y, γ (| y |), y ∈ ℝ n ” with rough kernels. We also give several applications of this inequality.
ISSN:1005-1031
1993-0445
DOI:10.1007/s11766-010-2143-y