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Weighted norm inequalities for the maximal singular integral operators on spaces of homogeneous type
Authors:Guoen Hu  Xianliang Shi
Affiliation:a Department of Applied Mathematics, University of Information Engineering, PO Box 1001-747, Zhengzhou 450002, People's Republic of China
b Department of Mathematics, Hunan Normal University, Changsha 410081, People's Republic of China
Abstract:Weighted norm inequalities with general weights are established for the maximal singular integral operators on spaces of homogeneous type, when the kernel satisfies a Hörmander regularity condition on one variable and a Hölder regularity condition on the other variable.
Keywords:Weighted norm inequality   Maximal operator   Singular integral   Space of homogeneous type
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