Weighted-𝐿² polynomial approximation in ℂ

DOI10.1090/tran/7935zbMath1439.30007arXiv1805.11756OpenAlexW2962985121MaRDI QIDQ5217855

Séverine Biard, Jujie Wu, John-Erik Fornaess

Publication date: 26 February 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.11756

zbMATH Keywords

polynomial approximationCarathéodory domainweighted \(L^2\)-estimatesmoon-shaped domain

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items (2)

Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan ⋮ Weighted \(L^2\) version of Mergelyan and Carleman approximation

Cites Work

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• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
• Cauchy–Riemann meet Monge–Ampère
• Approximation polynomiale ponderee dans un domaine d'holomorphie de \(\mathbb{C}^n\)

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