Acta mathematica scientia,Series B ›› 1995, Vol. 15 ›› Issue (3): 310-325.
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Zhu Fuliu
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Abstract: By using the Hba's expression of the inverse Abel transform for the Riemannian symmetric space SU*(6)/SP(3),we obtain the analytic expression of the heat hernal e1△ for this space, and then deduce the weak (1-1) boundedness of the maxiamal operator associated to the heat kernel,we obtain also the asymptotic behavious of the Riesz potential (△)-1/2 near infinite and near the origin. Finally we study the integrability of the Riesz transform grad(△)-1/2.
Key words: heat kernel, Riesz potential, Riesz transform, resolvant
Zhu Fuliu. ON THE HEAT KERNEL OF THE RIEMANNIAN SYMMETRIC SPACE SU*(6)/SP(3)[J].Acta mathematica scientia,Series B, 1995, 15(3): 310-325.
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