Weighted approximation in \(\mathbb{C} \)

DOI10.1007/s00209-019-02321-wzbMath1441.30039arXiv1712.01086OpenAlexW2963769261MaRDI QIDQ2305677

Jujie Wu, John-Erik Fornaess

Publication date: 11 March 2020

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.01086

zbMATH Keywords

Bergman kernelentire functionssubharmonic functions\(L^2\)-estimatesholomorphic approximation

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Entire functions of one complex variable (general theory) (30D20) Bergman spaces and Fock spaces (30H20)

Related Items (6)

Concavity property of minimal \(L^2\) integrals with Lebesgue measurable gain. IV: Product of open Riemann surfaces ⋮ Boundary points, minimal \(L^2\) integrals and concavity property \(V\): vector bundles ⋮ Concavity property of minimal \(L^2\) integrals with Lebesgue measurable gain V-fibrations over open Riemann surfaces ⋮ Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan ⋮ Weighted \(L^2\) version of Mergelyan and Carleman approximation ⋮ Weighted \(L^2\) approximation of analytic sections

Cites Work

• A proof of Demailly's strong openness conjecture
• Effectiveness of Demailly's strong openness conjecture and related problems
• A global approximation result by Bert Alan Taylor and the strong openness conjecture in \({\mathbb {C}}^n\)
• Weighted polynomial approximation of entire functions
• Parameter dependence of the Bergman kernels
• On the Forelli-Rudin construction and weighted Bergman projections
• Modules of Square Integrable Holomorphic Germs
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