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TANGENTIAL CONVERGENCE OF BOUNDED HARMONIC FUNCTIONS ON GENERALIZED SIEGEL DOMAINS
Published online by Cambridge University Press: 01 December 2008
Abstract
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.
- 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