Carleson-Type Maximal Operators with Variable Kernels

Citation:

Honghai LIU.Carleson-Type Maximal Operators with Variable Kernels[J].Chinese Annals of Mathematics B,2013,34(6):855~860
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Authors:

Honghai LIU;

Foundation:

National Natural Science Foundation of China (Nos. 11226103, 11226102) andthe Doctor Foundation of Henan Polytechnic University (No.B2011-034).
Abstract: The author considers the Lp boundedness for two kinds of Carleson-type maximal operators with variable kernels Ω(x,y)|y|n , where Ω(x, y) ∈ L∞(Rn)×Ws2 (Sn?1) for somes > 0.

Keywords:

Carleson operators, Spherical harmonics, Sobolev spaces on sphere, Markov inequality

Classification:

42B20, 42B25
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