Characterization of Poisson integrals on non-tube bounded symmetric domains

Mathematics – Representation Theory

Scientific paper

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Scientific paper

We characterize the $L^p$-range, $1 < p < +\infty$, 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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