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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Published in | Applied Mathematics-A Journal of Chinese Universities Vol. 25; no. 2; pp. 192 - 198 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Heidelberg
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
01.06.2010
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Subjects | |
Online Access | Get full text |
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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 |