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Characterization of Poisson integrals on non-tube bounded symmetric domains

Abdelhamid Boussejra·Khalid Koufany
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Abstract

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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BibTeXRIS

Abdelhamid Boussejra, Khalid Koufany. 2006-09-15. Characterization of Poisson integrals on non-tube bounded symmetric domains. https://arxiv.org/abs/math/0609445

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