English

Characterization of Poisson integrals on non-tube bounded symmetric domains

Representation Theory 2007-06-06 v1

Abstract

We characterize the LpL^p-range, 1<p<+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.

Keywords

Cite

@article{arxiv.math/0609445,
  title  = {Characterization of Poisson integrals on non-tube bounded symmetric domains},
  author = {Abdelhamid Boussejra and Khalid Koufany},
  journal= {arXiv preprint arXiv:math/0609445},
  year   = {2007}
}