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Characterization of Poisson integrals on non-tube bounded symmetric domains

Abdelhamid Boussejra, Khalid Koufany

math.RTarXiv:math/0609445

Abstract

We characterize the Lp-range, 1 < p < +∞, of the Poisson transform on the Shilov boundary for non-tube bounded symmetric domains. We prove that this range is a Hua-Hardy type space for harmonic functions satisfying a Hua system.

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