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TANGENTIAL CONVERGENCE OF BOUNDED HARMONIC FUNCTIONS ON GENERALIZED SIEGEL DOMAINS

Published online by Cambridge University Press:  01 December 2008

M. SUNDARI
M. SUNDARI*
Affiliation:
Chennai Mathematical Institute, Plot H-1, SIPCOT IT Park, Padur P O, Siruseri, 603 103, India (email: sundari@cmi.ac.in)
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Abstract

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Suppose that u is a bounded harmonic function on the upper half-plane such that for some y0>0. Then one can prove that for any other positive y. In this paper, we shall consider the algebra of radial integrable functions on H-type groups and obtain a similar result for bounded harmonic functions on generalized Siegel domains.

Keywords

Poisson kernelharmonic functiongeneralized Siegel domain
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 85 , Issue 3 , December 2008 , pp. 419 - 430
Copyright
Copyright © Australian Mathematical Society 2009

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