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 L-p-boundedness and the weak(1-1)boundedness of cer...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 L-p-boundedness and the weak(1-1)boundedness of certain singular convolution operators on the quaternionic Heisenberg group.展开更多
文摘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 L-p-boundedness and the weak(1-1)boundedness of certain singular convolution operators on the quaternionic Heisenberg group.
