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A FUNDAMENTAL SOLUTION FOR THE LAPLACE OPERATOR ON THE QUATERNIONIC HEISENBERG GROUP |
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| Authors: | Zhu Li School of Mathematics Wuhan University Wuhan China |
| Affiliation: | Zhu Li School of Mathematics,Wuhan University,Wuhan 430072,China |
| 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. |
| Keywords: | Laplace operator fundamental solution singular integral kernels analysis on nilponent groups regularity of solutions |
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