A. Boussejra

activity

20062019

collaborators

3 papers

math.RT2019

L^p-Poisson integral representations of the generalized Hua operators on line bundles over SU(n,n)/S(U(n)xU(n))

Abdelhamid Boussejra, Nadia Ourchane

Let $τ_{ν}$ ( $ν \in Z$ ) be a character of $K = S (U (n) \times U (n))$ , and $S U (n, n) \times_{K} C$ the associated homogeneous line bundle over $\mathcal{D}=\{Z\in M(n,\mathbb{…

math.RT2017

Characterization of the Lp-range of the Poisson transform on the Octonionic Hyperbolic Plane

Abdelhamid Boussejra, Nadia Ourchane

We give an image characterization of the Poisson transform of L-p functions on the boundary of the exceptional symmetric space by using the Hardy-type norm.

math.RT2006

Characterization of Poisson integrals on non-tube bounded symmetric domains

Abdelhamid Boussejra, Khalid Koufany

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…