Proper Holomorphic Correspondences Between Circular Domains.
Proper Holomorphic Images of Strictly Pseudoconvex Domains.
Proper holomorphic liftings and new formulas for the Bergman and Szegő kernels
We consider a large class of convex circular domains in which contains the oval domains and minimal balls. We compute their Bergman and Szegő kernels. Our approach relies on the analysis of some proper holomorphic liftings of our domains to some suitable manifolds.
Proper holomorphic mappings.
Proper holomorphic mappings and real reflection groups.
Proper holomorphic mappings between bounded complete Reinhardt domains in C2.
Proper holomorphic mappings between Reinhards domains and pseudoellipsoids
Proper holomorphic mappings in the special class of Reinhardt domains
A complete characterization of proper holomorphic mappings between domains from the class of all pseudoconvex Reinhardt domains in ℂ² with the logarithmic image equal to a strip or a half-plane is given.
Proper holomorphic mappings vs. peak points and Shilov boundary
We present a result on the existence of some kind of peak functions for ℂ-convex domains and for the symmetrized polydisc. Then we apply the latter result to show the equivariance of the set of peak points for A(D) under proper holomorphic mappings. Additionally, we present a description of the set of peak points in the class of bounded pseudoconvex Reinhardt domains.
Proper holomorphic self-mappings of Reinhardt domains.
Proper mappings between Reinhardt domains with an analytic variety on the boundary
Properties of holomorphic functions of bounded characteristic on star-shaped circular domains.
Properties of Peak Sets in Weakly Pseudoconvex Boundaries in C2.
Propriétés de division par des fonctions de
Proximité évanescente. II. Équations fonctionnelles pour plusieurs fonctions analytiques
Pseudoconvex Domains: An Example with Nontrivial Nebenhülle.
Pseudodistances invariantes sur les domaines d'un espace localement convexe
Pseudo-uniform Convexity in Hardy Spaces over Riemann Surfaces.
Puiseux Expansion of a Cuspidal Singularity
We present an effective and elementary method of determining the topological type of a cuspidal plane curve singularity with given local parametrization.
Putnam's Theorem, Alexander's Spectral Area Estimate, and VMO.