| 摘要: |
| 本文研究了H型幂零李群上Hardy不等式的问题.利用基本解的方法，获得了相关李群上的Hardy不等式，并且所得到的相关Hardy常数是最佳的. |
| 关键词: Hardy不等式 H型群 最佳常数 |
| DOI： |
| 分类号:O152.5 |
| 基金项目:Supported by the Education Department of Hubei province science and technology research project (D20131108). |
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| ON THE BEST CONSTANTS OF HARDY INEQUALITIES ON HALF SPACES IN H-TYPE GROUPS |
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LIAN Bao-sheng, SHEN Xiao-yu, XU Yan-bing
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College of Science, Wuhan University of Science and Technology, Wuhan 430065, China
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| Abstract: |
| In this paper, using the corresponding fundamental solution, we obtain some Hardy inequalities on half spaces for Kohn's sublaplacian in H-type groups. Furthermore, the constants we obtain are sharp. |
| Key words: Hardy inequality H-type group best constant |
