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杨大春

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期刊论文

Boundedness of maximal singular integral operators on spaces of homogeneous type and its applications

杨大春Guoen Hu Dachun Dongyong Yang

J. Math. Soc. Japan Vol. 59, No. 2 (2007)pp. 323-349,-0001,():

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摘要/描述

Some equivalent characterizations for boundedness of maximal singular integral operators on spaces of homogeneous type are given via certain norm inequalities on John-Stromberg sharp maximal functions and without resorting the boundedness of these operators themselves. As a corollary, the results of Grafakos on Euclidean spaces are generalized to spaces of homogeneous type. Moreover, applications to maximal Monge-Ampere singular integral operators and maximal Nagel-Stein singular integral operators on certain specific smooth manifolds are also presented.

【免责声明】以下全部内容由[杨大春]上传于[2007年09月17日 16时10分46秒],版权归原创者所有。本文仅代表作者本人观点,与本网站无关。本网站对文中陈述、观点判断保持中立,不对所包含内容的准确性、可靠性或完整性提供任何明示或暗示的保证。请读者仅作参考,并请自行承担全部责任。

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