Solutions of the Hua System on Hermitian Symmetric Spaces of Tube Type
Journal Title: International Journal of Research and Review - Year 2017, Vol 4, Issue 4
Abstract
In this paper, we give an over view results on the eigen functions of the Hua operator on a Hermitian symmetric space of tube type X = G/K, , let λ_j ∈ C (j=1,2,……,n)such that ∑_(j=1)^n▒〖R(λ_j) 〗> η - 1, and let F be a C-valued function on X satisfying the following Hua system: H_q F =∑_(j=1)^n▒〖((λ_j^2 - η2))/(32η2 ) F〗 Z . Then F has an L^p-Poisson integral representation (1 < p < +∞) over the Shilov boundary of X .
Authors and Affiliations
Mohammed Nour A. Rabih
Keywords
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