Boussejra, Abdelhamid Boundary behavior of Poisson integrals on boundaries of symmetric spaces. (English) Zbl 1214.43003 J. Lie Theory 21, No. 2, 243-261 (2011). It is well-known that a complex valued function on a bounded symmetric domain \(X=G/K\) satisfying the associated Hua system has an \(L^p\)-Poisson integral representation over the Shilov boundary of \(X\), if and only if it satisfies a Hardy type condition on a family of \(K\)-orbits; the paper extends this result to any boundary component of a Riemannian symmetric space of noncompact type. Reviewer: George Stoica (Saint John) Cited in 2 Documents MSC: 43A15 \(L^p\)-spaces and other function spaces on groups, semigroups, etc. 43A85 Harmonic analysis on homogeneous spaces Keywords:Poisson integrals; Hardy-type spaces; Fatou-type theorem PDFBibTeX XMLCite \textit{A. Boussejra}, J. Lie Theory 21, No. 2, 243--261 (2011; Zbl 1214.43003) Full Text: Link