Results 31 to 40 of about 582 (171)

Solvability of the Gleason problem on a class of bounded pseudoconvex domains [PDF]

, 2022
We show that if a bounded pseudoconvex domain satisfies the solvability of the bounded $\bar{\partial}$ problem, then the ideal of bounded holomorphic functions vanishing at a point in the domain is finitely generated.
Clos, Timothy G.
core   +2 more sources

Lipschitz estimates on weakly pseudoconvex domains [PDF]

, 2013
Given an arbitrary pseudoconvex domain D in C^n, in general, one cannot construct an integral kernel using holomorphic support functions. Here we consider an integral kernel, defined for weakly pseudoconvex domains, that while not holomorphic, does ...
Smitas, Daniel
core   +2 more sources

Deformations of strongly pseudoconvex domains [PDF]

Manuscripta Mathematica, 2012
We show that two smoothly bounded, strongly pseudoconvex domains which are diffeomorphic may be smoothly deformed into each other, with all intermediate domains being strongly pseudoconvex. This result relates to Lempert's ideas about Kobayashi extremal discs, and also has intrinsic interest.
openaire   +2 more sources

A small boundary for 𝐻^{∞} on a strictly pseudoconvex domain [PDF]

, 1985
Let n ⩾ 2 n \geqslant 2 and D ⊂⊂ C n D \subset \subset {{\mathbf {C}}^n}
Antonella Cupillari
core   +1 more source

On Sharp Hölder Estimates of the Cauchy-Riemann Equation on Pseudoconvex Domains in Cn with One Degenerate Eigenvalue

Abstract and Applied Analysis, 2015
Let Ω be a smoothly bounded pseudoconvex domain in Cn with one degenerate eigenvalue and assume that there is a smooth holomorphic curve V whose order of contact with bΩ at z0∈bΩ is larger than or equal to η.
Sanghyun Cho, Young Hwan You
doaj   +1 more source

Pseudoconvex domains: An example with nontrivial nebenh�lle

Mathematische Annalen, 1977
John Erik Fornaess, Klas Diederich, Fornaess John Erik   +2 more
exaly   +3 more sources

Harmonic Analysis Techniques in Several Complex Variables

Bruno Pini Mathematical Analysis Seminar, 2014
We give a survey of recent joint work with E.M. Stein (Princeton University) concerning the application of suitable versions of the T(1)-theorem technique to the study of orthogonal projections onto the Hardy and Bergman spaces of holomorphic functions ...
Loredana Lanzani
doaj   +1 more source

On Generalized Strongly p‐Convex Functions of Higher Order

Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020
The aim of this paper is to introduce the definition of a generalized strongly p‐convex function for higher order. We will develop some basic results related to generalized strongly p‐convex function of higher order. Moreover, we will develop Hermite–Hadamard‐, Fejér‐, and Schur‐type inequalities for this generalization.
Muhammad Shoaib Saleem, Yu-Ming Chu, Nazia Jahangir, Huma Akhtar, Chahn Yong Jung, Ming-Sheng Liu   +5 more
wiley   +1 more source

A smooth pseudoconvex domain without pseudoconvex exhaustion

Manuscripta Mathematica, 1982
A pseudoconvex demain with real —analytic smooth boundary on a complex manifold is constructed which cannot be exhausted by pseudoconvex domains.
Diederich, Klas, Fornaess, John Erik
openaire   +1 more source

Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in C3

Abstract and Applied Analysis, 2014
Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that z0∈bΩ is a point of finite 1-type in the sense of D’Angelo. Then, there are an admissible curve Γ⊂Ω∪{z0}, connecting points  q0∈Ω and z0∈bΩ, and a quantity M(z,X), along z∈Γ, which ...
Sanghyun Cho, Young Hwan You
doaj   +1 more source