Results 21 to 30 of about 579 (168)
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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Morse index of free boundary disk for pseudoconvex domain
, 2023 In this paper we study the Morse index for the $\overline{\partial}$-energy of a non-holomorphic disk in a strictly pseudoconvex domain in $\mathbb{C}^n$ or in a K\"ahler manifold with non-negative bisectional curvature. We give a proof that a $\overline{
Chau, Chi Fai
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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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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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Peak Points for Pseudoconvex Domains: A Survey [PDF]
Journal of Geometric Analysis, 2008 This paper surveys results concerning peak points for pseudoconvex domains. It includes results of Laszlo that have not been published elsewhere.
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Subellipticity of the ∂ ̄-Neumann problem on a weakly q-pseudoconvex/concave domain
, 2011 For a domain D of Cn which is weakly q-pseudoconvex or q-pseudoconcave, we give a sufficient condition for subelliptic estimates for the View the MathML source-Neumann problem.
Giuseppe Zampieri +4 more
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On the Silov boundary of a pseudoconvex domain in Cn with C2 + α boundary
, 1991 Let D be a bounded pseudoconvex domain in Cn and ∂spcD be the totality of strictly pseudoconvex boundary points. When D has a C2 + α plurisubharmonic defining function, a holomorphic diffusion process which never approaches ∂D∂spc is constructed.
Taniguchi, Setsuo, Setsuo Taniguchi
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Remarks on weakly pseudoconvex boundaries
, 2003 In this paper, we consider the boundary M of a weakly pseudoconvex domain in a Stein manifold. We point out a striking difference between the local cohomology and the global cohomology of M, and illustrate this with an example.
Hill, CD +6 more
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A non-strictly pseudoconvex domain for which the squeezing function tends to 1 towards the boundary [PDF]
, 2018 In recent work by Zimmer it was proved that if Ω ⊂ C n is a bounded convex domain with C ∞-smooth boundary, then Ω is strictly pseudoconvex provided that the squeezing function approaches one as one approaches the boundary. We show that this result fails
Fornæss, John Erik +1 more
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Projected Composition Operators on Pseudoconvex Domains [PDF]
Integral Equations and Operator Theory, 2021 Let $Ω\subset \mathbb{C}^n$ be a smooth bounded pseudoconvex domain and $A^2 (Ω)$ denote its Bergman space. Let $P:L^2(Ω)\longrightarrow A^2(Ω)$ be the Bergman projection. For a measurable $φ:Ω\longrightarrow Ω$, the projected composition operator is defined by $(K_φf)(z) = P(f \circ φ)(z), z \inΩ, f\in A^2 (Ω).$ In 1994, Rochberg studied boundedness ...
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