Results 161 to 170 of about 2,775,649 (193)

Kähler–Einstein Bergman metrics on pseudoconvex domains of dimension two

Duke mathematical journal, 2023
We prove that a two dimensional pseudoconvex domain of finite type with a K\"ahler-Einstein Bergman metric is biholomorphic to the unit ball. This answers an old question of Yau for such domains.
Nikhil Savale, Ming Xiao
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The Kobayashi Metric and Gromov Hyperbolicity on Pseudoconvex Domains of Finite Type in C2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt

Journal of Geometric Analysis, 2023
In this paper, we obtain a more precise estimate of Catlin-type distance for smoothly bounded pseudoconvex domain of finite type in C2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
Haichou Li, Xingsi Pu, Lang-Lang Wang
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Compactness of Toeplitz operators with continuous symbols on pseudoconvex domains in ℂⁿ

Proceedings of the American Mathematical Society, Series B, 2023
Let Ω \Omega be a bounded pseudoconvex domain in C n \mathbb {C}^n with Lipschitz boundary and ϕ \phi be a continuous function on Ω ...
Tomas Miguel Rodriguez, Sonmez Sahutoglu
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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 ...
Walton Green, Nathan A. Wagner
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A Békollè–Bonami Class of Weights for Certain Pseudoconvex Domains

Journal of Geometric Analysis, 2020
We prove the weighted Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document ...
Zhenghui Huo, Nathan A. Wagner, B. Wick
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Curvature strict positivity of direct image bundles associated to pseudoconvex families of domains

Mathematische Annalen, 2022
We consider the curvature strict positivity of the direct image bundle associated to a pseudoconvex family of bounded domains. The main result is that the curvature of the direct image bundle associated to a strictly pseudoconvex family of bounded ...
F. Deng, Jinjin Hu, Xiangsen Qin
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Pseudoconvex domains with smooth boundary in projective spaces

Mathematische Zeitschrift, 2020
Given a pseudoconvex domain U with C1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt ...
N. Sibony
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On the projection of pseudoconvex domains

Mathematische Zeitschrift, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Weighted Sobolev $$L^{p}$$ Estimates for Homotopy Operators on Strictly Pseudoconvex Domains with $$C^{2}$$ boundary

Journal of Geometric Analysis, 2019
We derive estimates in a weighted Sobolev space $W^{k,p}_{\mu}(D)$ for a homotopy operator on a bounded strictly pseudoconvex domain $D$ of $C^2$ boundary in ${\C}^n$.
Ziming Shi
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Bergman–Toeplitz operators on weakly pseudoconvex domains

Mathematische Zeitschrift, 2017
We prove that for certain classes of pseudoconvex domains of finite type, the Bergman–Toeplitz operator $$T_{\psi }$$Tψ with symbol $$\psi =K^{-\alpha }$$ψ=K-α maps from $$L^{p}$$Lp to $$L^{q}$$Lq continuously with $$1< p\le ...
T. Khanh, Jiakun Liu, Phung Trong Thuc
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