On the regularity of extension to strictly pseudoconvex domains of functions holomorphic in a submanifold in general position
On the space of Bloch harmonic functions and interpolation of spaces of harmonic and holomorphic functions
Peak points for domains in ℂⁿ
We give a necessary and sufficient condition for the existence of a weak peak function by using Jensen type measures. We also show the existence of a weak peak function for a class of Reinhardt domains.
Peak Points on Weakly Pseudokonvex Domains.
Peak Sets in Pseudoconvex Domains with the (NP) Property.
Peak Sets in Weakly Pseudoconvex Domains.
Plurisubharmonic Defining Functions of Weakly Pseudoconvex Domains in C2.
Poisson geometry and deformation quantization near a strictly pseudoconvex boundary
Let be a complex manifold with strongly pseudoconvex boundary . If is a defining function for , then is plurisubharmonic on a neighborhood of in , and the (real) 2-form is a symplectic structure on the complement of in a neighborhood of in ; it blows up along . The Poisson structure obtained by inverting extends smoothly across and determines a contact structure on which is the same as the one induced by the complex structure. When is compact, the Poisson structure near...
Potential theory and several complex variables
Precise regularity up to the boundary of proper holomorphic mappings
...-problem on weakly q-convex domains.
Projecteurs de Bergman et Szegö pour une classe de domaines faiblement pseudo-convexes et estimations
Proper Holomorphic Images of Strictly Pseudoconvex Domains.
Proper holomorphic mappings.
Proper holomorphic mappings from strongly pseudoconvex domains in C... to the unit polydisc in C...
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 Maps from Strongly q-Convex Domains.
Proper Self Maps of Weakly Pseudoconvex Domains.
Properties of Peak Sets in Weakly Pseudoconvex Boundaries in C2.
Propriétés de division par des fonctions de