Results 1 to 10 of about 217,307 (157)
Comparison and localization of invariant functions on strongly pseudoconvex domains [PDF]
Bulletin of the London Mathematical Society, 2022 Comparison and localization results for the Lempert function, the Carathéodory distance, and their infinitesimal forms on strongly pseudoconvex domains are obtained. Related results for visible and strongly complete domains are proved.
N. Nikolov
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Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains [PDF]
Mathematische Zeitschrift, 2017 We prove that for a strongly pseudoconvex domain $$D\subset \mathbb {C}^n$$D⊂Cn, the infinitesimal Carathéodory metric $$g_C(z,v)$$gC(z,v) and the infinitesimal Kobayashi metric $$g_K(z,v)$$gK(z,v) coincide if z is sufficiently close to bD and if v is ...
Filippo Bracci, J. Fornæss, E. F. Wold
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Toeplitz operators and skew Carleson measures for weighted Bergman spaces on strongly pseudoconvex domains [PDF]
Journal of operator theory, 2019 In this paper we study mapping properties of Toeplitz-like operators on weighted Bergman spaces of bounded strongly pseudconvex domains in $\mathbb{C}^n$.
M. Abate, Samuele Mongodi, Jasmin Raissy
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Skew Carleson Measures in Strongly Pseudoconvex Domains [PDF]
Complex Analysis and Operator Theory, 2017 Given a bounded strongly pseudoconvex domain D in Cn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
M. Abate, Jasmin Raissy
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Dominating Sets in Bergman Spaces on Strongly Pseudoconvex Domains
Constructive Approximation, 2021 We obtain local estimates, also called propagation of smallness or Remez-type inequalities, for analytic functions in several variables. Using Carleman estimates, we obtain a three sphere-type inequality, where the outer two spheres can be any sets ...
W. Green, Nathan A. Wagner
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Strongly pseudoconvex domains as subvarieties of complex manifolds [PDF]
American Journal of Mathematics, 2010 In this paper we obtain existence and approximation results for closed complex subvarieties that are normalized by strongly pseudoconvex Stein domains. Our sufficient condition for the existence of such subvarieties in a complex manifold $X$ is expressed in terms of the Morse indices and the number of positive Levi eigenvalues of an exhaustion ...
Drnovsek, Barbara Drinovec +1 more
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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.
Steven G. Krantz
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Fiberwise Kähler-Ricci flows on families of bounded strongly pseudoconvex domains [PDF]
Documenta Mathematica, 2020 Let $\pi:\mathbb{C}^n\times\mathbb{C}\rightarrow\mathbb{C}$ be the projection map onto the second factor and let $D$ be a domain in $\mathbb{C}^{n+1}$ such that for $y\in\pi(D)$, every fiber $D_y:=D\cap\pi^{-1}(y)$ is a smoothly bounded strongly ...
Youngook Choi, Sungmin Yoo
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On the Corona Problem for Strongly Pseudoconvex Domains
Analysis Mathematica, 2020 In this note we solve that the corona problem for strongly pseudoconvex domains under a certain assumption on the level sets of the corona data. This result settles a question of S. Krantz [4].
A. Tikaradze
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Big Hankel operators on Hardy spaces of strongly pseudoconvex domains [PDF]
Acta Mathematica Scientia, 2021 In this article, we investigate the (big) Hankel operator Hf on the Hardy spaces of bounded strongly pseudoconvex domains Ω in ℂn. We observe that Hf is bounded on Hp (Ω) (1 < p < ∞) if f belongs to BMO and we obtain some characterizations for Hf on H2 ...
Boyong Chen, Liangying Jiang
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