Rough Marcinkiewicz integrals related to surfaces of revolution
نویسندگان
چکیده
منابع مشابه
Rough Marcinkiewicz Integrals On Product Spaces
In this paper, we establish an Lp boundedness result of a class of Marcinkiewicz integral operators on product domains with rough kernels.
متن کاملBoundedness of Marcinkiewicz integrals with mixed homogeneity along compound surfaces
*Correspondence: [email protected] 1School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China Full list of author information is available at the end of the article Abstract In this note we establish the Lp boundedness of Marcinkiewicz integrals with mixed homogeneity along compound surfaces, which improve and extend some previous results. The main ingredient is to presen...
متن کاملRough Marcinkiewicz Integral Operators
We study the Marcinkiewicz integral operator M f(x) = ( ∫∞ −∞ | ∫ |y|≤2t f (x − (y))(Ω(y)/|y|n−1)dy|2dt/22t)1/2, where is a polynomial mapping from Rn into Rd and Ω is a homogeneous function of degree zero on Rn with mean value zero over the unit sphere Sn−1. We prove an Lp boundedness result of M for rough Ω. 2000 Mathematics Subject Classification. 42B20, 42B15, 42B25.
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In this paper, we study the $L^p$ ($1
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We prove certain L estimates (1 < p <∞) for non-isotropic singular integrals along surfaces of revolution. The singular integrals are defined by rough kernels. As an application we obtain L boundedness of the singular integrals under a sharp size condition on their kernels. We also prove a certain estimate for a trigonometric integral, which is useful in studying non-isotropic singular integrals.
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ژورنال
عنوان ژورنال: Asian Journal of Mathematics
سال: 2003
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.2003.v7.n2.a4