Weighted \(L^2\) approximation of analytic sections

DOI10.1007/s12220-021-00772-4zbMath1487.32028OpenAlexW4206792292MaRDI QIDQ2074498

Yanyan Li

Publication date: 10 February 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-021-00772-4

zbMATH Keywords

approximationweighted Bergman spacesmultiplier ideal sheaves\(L^2\)-estimates for \(\bar{\partial}\)

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Bergman spaces of functions in several complex variables (32A36)

Cites Work

• A proof of Demailly's strong openness conjecture
• On the extension of \(L^ 2\) holomorphic functions
• Effectiveness of Demailly's strong openness conjecture and related problems
• The Levi problem on complex spaces with singularities
• Distribution of nodes on algebraic curves in \({\mathbb C}^N\).
• A global approximation result by Bert Alan Taylor and the strong openness conjecture in \({\mathbb {C}}^n\)
• On the extension of \(L^ 2\) holomorphic functions. III: Negligible weights
• Weighted approximation in \(\mathbb{C} \)
• A solution of an \(L^{2}\) extension problem with an optimal estimate and applications
• Strong openness of multiplier ideal sheaves and optimal \(L^{2}\) extension
• Weighted polynomial approximation of entire functions
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