Inequalities for Poisson kernels on symmetric spaces

Korányi, Adam

doi:10.1090/S0002-9939-1974-0328480-5

Inequalities for Poisson kernels on symmetric spaces
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Proc. Amer. Math. Soc. 43 (1974), 465-469 Request permission

Abstract:

Every symmetric space of noncompact type has a finite number of Furstenberg-Satake boundaries; to each of these there corresponds a Poisson kernel. Sharp Harnack-type inequalities are proved and it is shown that the Poisson kernel, in appropriate coordinates, is the square root of a rational function.

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