Results 81 to 90 of about 897 (167)

Pseudoconvex Domains in Almost Complex Abstract Wiener Spaces

, 1993
The ∂-operator on an almost complex abstract Wiener space (B, H, μ, J) is defined by making use of the Malliavin calculus. The authors then study pseudoconvex domains in B, domains where the ∂-equations ∂u = ƒ are solvable.
Kusuoka, S., Taniguchi, S.
core   +1 more source

A parametrix for the ∂̄-Neumann problem on pseudoconvex domains of finite type

, 2004
We construct a parametrix for the ∂̄-Neumann problem on any pseudoconvex domain of finite type which reduces completely the study of (isotropic) Lp-Sobolev and Hölder estimates to those for ∂̄b and □b.
Koenig, Kenneth D
core   +1 more source

Some Aspects of the Kobayashi and Carath,odory Metrics on Pseudoconvex Domains

, 2012
The purpose of this article is to consider two themes, both of which emanate from and involve the Kobayashi and the Carath,odory metric. First, we study the biholomorphic invariant introduced by B.
Mahajan, Prachi, Verma, Kaushal
core  

The zeros of holomorphic functions in strictly pseudoconvex domains

, 1975
We determine a sufficient condition on a positive divisor in certain strictly pseudoconvex domains in C n {{\mathbf {C}}^n} such that there exists a ...
Lawrence Gruman
core   +1 more source

A characterization of certain weakly pseudoconvex domains

By making use of well-known extension theorems on holomorphic mappings and CR-mappings and applying Webster's CR-invariant metrics, we give a characterization of certain weakly pseudoconvex domains from the viewpoint of biholomorphic automorphism groups ...
児玉, 秋雄, Kodama, Akio
core   +1 more source

Toeplitz operators and related function algebras on certain pseudoconvex domains

, 1979
Toeplitz operators are defined on pseudoconvex domains in C n {{\textbf {C}}^n} and their spectral properties are studied. In addition, the linear space
Steven G. Krantz, Nicholas P. Jewell
core   +1 more source

Comparison and localization of invariant functions on strongly pseudoconvex domains

, 2023
Comparison and localization results for the Lempert function, the Carath\'eodory distance and their infinitesimal forms on strongly pseudoconvex domains are obtained. Related results for visible and strongly complete domains are proved.Comment: v2: minor
Nikolov, Nikolai
core  

Ellipsoids in pseudoconvex domains

We consider the problem of maximizing the volume of hermitian ellipsoids inscribed in a given pseudoconvex domain in complex Euclidean space. We prove existence and uniqueness, and give a characterization of the maximizer.
openaire   +2 more sources

Visibility domains that are not pseudoconvex

Bulletin des Sciences Mathématiques
The earliest examples of visibility domains, given by Bharali--Zimmer, are pseudoconvex. In fact, all known examples of visibility domains are pseudoconvex. We show that there exist non-pseudoconvex visibility domains. We supplement this proof by a general method to construct a wide range of non-pseudoconvex, hence non-Kobayashi-complete, visibility ...
openaire   +3 more sources

Bekoll\'e-Bonami estimates on some pseudoconvex domains

, 2020
We establish a weighted $L^p$ norm estimate for the Bergman projection for a class of pseudoconvex domains. We obtain an upper bound for the weighted $L^p$ norm when the domain is, for example, a bounded smooth strictly pseudoconvex domain, a ...
Huo, Zhenghui, Wagner, Nathan A., Wick, Brett D.   +2 more
core