Minimum principle for bounded holomorphic functions in many-dimensional domains

Hua Operators on Bounded Homogeneous Dom

Hua Operators on Bounded Homogeneous Domains in Cnand Alternative Reproducing Kernels for Holomorphic Functions

✍ E. Damek; A. Hulanicki; R. Penney 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 581 KB

Let D be a bounded homogeneous domain in C n . (Note that D is not assumed to be Hermitian-symmetric.) In this work we are interested in studying various classes of ``harmonic'' functions on D and the possibility of representing them as ``Poisson integrals'' over the Bergman-Shilov boundary. One suc