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Carleson-Type Maximal Operators with Variable Kernels |
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Citation: |
Honghai LIU.Carleson-Type Maximal Operators with Variable Kernels[J].Chinese Annals of Mathematics B,2013,34(6):855~860 |
Page view: 1587
Net amount: 1026 |
Authors: |
Honghai LIU; |
Foundation: |
National Natural Science Foundation of China (Nos. 11226103, 11226102) andthe Doctor Foundation of Henan Polytechnic University (No.B2011-034). |
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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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