On an Estimate of Axler and Shapiro.
On boundary behaviour of the Bergman projection on pseudoconvex domains
It is shown that on strongly pseudoconvex domains the Bergman projection maps a space of functions growing near the boundary like some power of the Bergman distance from a fixed point into a space of functions which can be estimated by the consecutive power of the Bergman distance. This property has a local character. Let Ω be a bounded, pseudoconvex set with C³ boundary. We show that if the Bergman projection is continuous on a space defined by weighted-sup seminorms and equipped with the topology...
On compactifiable strongly pseudoconvex threefolds.
On complex manifolds which can be compactified by adding finitely many points.
On Decomposition Theorems for Hardy Spaces on Domains in ... and Applications.
On Gleason's Decomposition for A...(...).
On holomorphic maps between domains in
On horospheres and holomorphic endomorfisms of the Siegel disc
On iterates of holomorphic maps.
On pluriharmonic interpolation.
On proper R-actions on hyperbolic Stein surfaces.
On regular Stein neighborhoods of a union of two totally real planes in ℂ²
We find regular Stein neighborhoods of a union of totally real planes M = (A+iI)ℝ² and N = ℝ² in ℂ², provided that the entries of a real 2 × 2 matrix A are sufficiently small. A key step in our proof is a local construction of a suitable function ρ near the origin. The sublevel sets of ρ are strongly Levi pseudoconvex and admit strong deformation retraction to M ∪ N.
On Strongly Pseudo-convex Kähler Manifolds.
On the automorphism group of strongly pseudoconvex domains in almost complex manifolds
In contrast with the integrable case there exist infinitely many non-integrable homogeneous almost complex manifolds which are strongly pseudoconvex at each boundary point. All such manifolds are equivalent to the Siegel half space endowed with some linear almost complex structure.We prove that there is no relatively compact strongly pseudoconvex representation of these manifolds. Finally we study the upper semi-continuity of the automorphism group of some hyperbolic strongly pseudoconvex almost...
On the Bergman distance on model domains in ℂⁿ
Let P be a real-valued and weighted homogeneous plurisubharmonic polynomial in and let D denote the “model domain” z ∈ ℂⁿ | r(z):= Re z₁ + P(z’) < 0. We prove a lower estimate on the Bergman distance of D if P is assumed to be strongly plurisubharmonic away from the coordinate axes.
On the Compactification of Strongly Pseudoconvex Surfaces III.
On the compactness of the -Neumann operator
On the Conformal and CR Automorphism Groups.
On the Dirichlet Problem for the Complex Monge-Ampère Operator.
On the Forelli-Rudin construction and weighted Bergman projections