Boundary behavior of the squeezing functions of ℂ-convex domains and plane domains

DOI10.1142/S0129167X17500318zbMath1373.32010arXiv1609.02051OpenAlexW3099937216MaRDI QIDQ5269886

Lyubomir Andreev, Nikolai Nikolov

Publication date: 28 June 2017

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.02051

zbMATH Keywords

squeezing function\(\mathbb C\)-convex domainsDini-smooth domains

Mathematics Subject Classification ID

Other notions of convexity in relation to several complex variables (32F17)

Related Items (17)

Bergman metric on the symmetrized bidisk and its consequences ⋮ Squeezing function corresponding to polydisk ⋮ Linear invariants of complex manifolds and their plurisubharmonic variations ⋮ The squeezing function: exact computations, optimal estimates, and a new application ⋮ An analogue of the squeezing function for projective maps ⋮ A comparison of two biholomorphic invariants ⋮ Estimates of Kähler-Einstein metrics on pseudoconvex domains of finite type with locally diagonalizable Levi form ⋮ Holomorphic invariants of bounded domains ⋮ The space of convex domains in complex Euclidean space ⋮ Estimates for the squeezing function near strictly pseudoconvex boundary points with applications ⋮ Compactness of the \(\overline{\partial} \)-Neumann problem on domains with bounded intrinsic geometry ⋮ A non-strictly pseudoconvex domain for which the squeezing function tends to 1 towards the boundary ⋮ The squeezing function on doubly-connected domains via the Loewner differential equation ⋮ Smoothly bounded domains covering finite volume manifolds ⋮ Fridman's invariant, squeezing functions, and exhausting domains ⋮ On some properties of the squeezing function corresponding to polydisk ⋮ Two boundary rigidity results for holomorphic maps

Cites Work

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• Properties of squeezing functions and global transformations of bounded domains
• A characterization of the ball in ℂn
• Estimates for invariant metrics on $\mathbb C$-convex domains
• An Estimate for the Squeezing Function and Estimates of Invariant Metrics
• Conformal Mappings of Domains Satisfying a Wedge Condition
• A gap theorem for the complex geometry of convex domains

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