| A FUNDAMENTAL SOLUTION FOR THE LAPLACE OPERATOR ON THE QUATERNIONIC HEISENBERG GROUP |
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| 作者姓名： | 朱理 |
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| 作者单位： | Zhu Li School of Mathematics，Wuhan University，Wuhan 430072，China |
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| 摘 要： | In this paper, the author studies the Laplace operator on the quaternionic Heisenberg group, construct a fundamental solution for it and use this solution to prove the Lp-boundedness and the weak (1-1) boundedness of certain singular convolution operators on the quaternionic Heisenberg group.
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A FUNDAMENTAL SOLUTION FOR THE LAPLACE OPERATOR ON THE QUATERNIONIC HEISENBERG GROUP |
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| Zhu Li School of Mathematics,Wuhan University,Wuhan ,China.A FUNDAMENTAL SOLUTION FOR THE LAPLACE OPERATOR ON THE QUATERNIONIC HEISENBERG GROUP[J].Acta Mathematica Scientia,2002,22(3). |
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| Authors: | Zhu Li School of Mathematics Wuhan University Wuhan China |
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| Institution: | Zhu Li School of Mathematics,Wuhan University,Wuhan 430072,China |
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| Abstract: | In this paper, the author studies the Laplace operator on the quaternionic Heisenberg group, construct a fundamental solution for it and use this solution to prove the Lp-boundedness and the weak (1-1) boundedness of certain singular convolution operators on the quaternionic Heisenberg group. |
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| Keywords: | Laplace operator fundamental solution singular integral kernels analysis on nilponent groups regularity of solutions |
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