A Class of Singular Integral Operators Associated to Surfaces of Revolution

A Class of Singular Integral Operators Associated to Surfaces of Revolution

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摘要 In this paper, the authors establish the Lp-mapping properties of a class of singular integral operators along surfaces of revolution with rough kernels. The size condition on the kernels is optimal and much weaker than that for the classical Calderon-Zygmund singular integral operators. In this paper, the authors establish the Lp-mapping properties of a class of singular integral operators along surfaces of revolution with rough kernels. The size condition on the kernels is optimal and much weaker than that for the classical Calderon-Zygmund singular integral operators.

作者 Muliang Cao Huoxiong Wu

机构地区不详

出处《Advances in Pure Mathematics》 2011年第6期334-339,共6页 理论数学进展（英文）

关键词 SINGULAR INTEGRALS Surface of REVOLUTION MAXIMAL Operator ROUGH KERNEL Singular Integrals Surface of Revolution Maximal Operator Rough Kernel

分类号 O1 [理学—基础数学]

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共引文献4

1Huoxiong Wu Shanzhi Yang.L^p BOUNDS FOR SINGULAR INTEGRALS ASSOCIATED TO SURFACES OF REVOLUTION ON PRODUCT DOMAINS[J].Analysis in Theory and Applications,2007,23(4):389-400.
2伍火熊,许建开.ROUGH MARCINKIEWICZ INTEGRALS ASSOCIATED TO SURFACES OF REVOLUTION ON PRODUCT DOMAINS[J].Acta Mathematica Scientia,2009,29(2):294-304. 被引量：6
3邓浏睿,李中凯,马柏林,伍火熊.ROUGH MULTIPLE SINGULAR INTEGRALS ALONG HYPERSURFACES[J].Acta Mathematica Scientia,2011,31(5):2081-2098.
4Zhendong Niu,Kai Zhu,Yanping Chen.L^p Bounds for the Commutators of Rough Singular Integrals Associated with Surfaces of Revolution[J].Analysis in Theory and Applications,2015,31(2):176-183.

1Xiaoyang HOU,Yi XU.The Norm of a Class of Singular Integral Operators from L~∞ onto Bloch-Type Spaces[J].Journal of Mathematical Research with Applications,2018,38(3):253-258.
2Wanqing Ma,Yu Liu.Commutators of Singular Integral Operators Related to Magnetic Schrdinger Operators[J].Analysis in Theory and Applications,2018,34(1):45-56.
3Lizandro B. R. Zegarra,Luis E. G. Armas,Aida D. Reyna,Julio A. L. Vergara,Fidel A. V. Obeso.Mathematical Model of the Criterion of Optimization by Compensation for Designing Commercial Bottles with Lateral Surfaces of Revolution and a Straight Section along Its Silhouette[J].Open Journal of Optimization,2017,6(3):115-147.
4高文华,胡国恩.QUANTITATIVE WEIGHTED BOUNDS FOR A CLASS OF SINGULAR INTEGRAL OPERATORS[J].Acta Mathematica Scientia,2019,39(4):1149-1162. 被引量：1
5Taxiarchis Papakostas.Surfaces of Revolution in the General Theory of Relativity[J].Journal of Modern Physics,2015,6(14):2000-2010.
6Evangelos G. Ladopoulos.Unsteady Spillway Flows by Singular Integral Operators Method[J].Engineering（科研）,2012,4(3):133-138.
7BU Rui,CHEN Jie-cheng.Compactness for the commutators of multilinear singular integral operators with non-smooth kernels[J].Applied Mathematics(A Journal of Chinese Universities),2019,34(1):55-75. 被引量：2
8Laith HAWAWSHEH,Ahmad AL-SALMAN.L^p Estimates of certain rough parametric Marcinkiewicz functions[J].Frontiers of Mathematics in China,2019,14(5):867-879.
9Feng LIU,Qingying XUE,Kozo YABUTA.Convergence of truncated rough singular integrals supported by subvarieties on Triebel-Lizorkin spaces[J].Frontiers of Mathematics in China,2019,14(3):591-604.

Advances in Pure Mathematics

2011年第6期

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A Class of Singular Integral Operators Associated to Surfaces of Revolution

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