| Some Estimates for Convolution Operators with Kernels of Type （l, r） on Homogeneous Groups |
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| 引用本文： | Yin Sheng JIANG Ming Ju LIU Lin TANG. Some Estimates for Convolution Operators with Kernels of Type （l, r） on Homogeneous Groups[J]. 数学学报(英文版), 2005, 21(3): 577-584. DOI: 10.1007/s10114-004-0507-z |
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| 作者姓名： | Yin Sheng JIANG Ming Ju LIU Lin TANG |
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| 作者单位： | [1]Department of Mathematics, Xinjiang University, Urumqi 830046, P. R. China [2]Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China [3]Department of Mathematics, Peking University, Beijing 100871, P. R. China |
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| 基金项目： | Project 10261007 supported by NSFC. and supported by SF of Xinjiang University |
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| 摘 要： | Some estimates for the convolution operators with kernels of type （l, r） on Lebesgue spaces with power weights and Herz-type spaces in the setting of homogeneous groups are established.
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| 关 键 词： | Lebesgue空间 同类群 Herz空间 回旋算子 |
| 收稿时间： | 2003-04-28 |
| 修稿时间： | 2003-04-282003-09-19 |
Some Estimates for Convolution Operators with Kernels of Type (l, r) on Homogeneous Groups |
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| Yin Sheng Jiang,Ming Ju Liu,Lin Tang. Some Estimates for Convolution Operators with Kernels of Type (l, r) on Homogeneous Groups[J]. Acta Mathematica Sinica(English Series), 2005, 21(3): 577-584. DOI: 10.1007/s10114-004-0507-z |
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| Authors: | Yin Sheng Jiang Ming Ju Liu Lin Tang |
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| Affiliation: | (1) Department of Mathematics, Xinjiang University, Urumqi 830046, P. R. China;(2) Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China;(3) Department of Mathematics, Peking University, Beijing 100871, P. R. China |
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| Abstract: | Some estimates for the convolution operators with kernels of type (l, r) on Lebesgue spaces with power weights and Herz–type spaces in the setting of homogeneous groups are established. Project 10261007 supported by NSFC and supported by SF of Xinjiang University |
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| Keywords: | Kernels of type (l, r) Homogeneous group Power weight Herz– type space |
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