Results 31 to 40 of about 1,824,075 (171)
Bekoll\'e-Bonami estimates on some pseudoconvex domains [PDF]
, 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 +2 more
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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
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
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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
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
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Pseudoconvex domains: An example with nontrivial nebenh�lle
Mathematische Annalen, 1977 John Erik Fornaess, Klas Diederich
exaly +3 more sources
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 +5 more
wiley +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
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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
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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.
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