A right inverse of Cauchy-Riemann operator \(\bar{\partial}^k+a\) in the weighted Hilbert space \(L^2(\mathbb{C},e^{-|z|^2})\)

DOI10.5802/AFST.1686zbMath1478.32127OpenAlexW3208622636WikidataQ114013494 ScholiaQ114013494MaRDI QIDQ2053317

Shaoyu Dai, Yifei Pan

Publication date: 29 November 2021

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/afst.1686

zbMATH Keywords

right inverseoperator \(\bar{\partial}^k+a\)

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Other partial differential equations of complex analysis in several variables (32W50)

Related Items (3)

On a Right Inverse of a Polynomial of the Laplace in the Weighted Hilbert Space $L^2 (\mathbb{R}^n ,e^{−|x|^2} )$ ⋮ On the Poincaré-Lelong equation in ℂⁿ ⋮ Study of the operator \(\partial^k\bar{\partial}^k + c\) in the weighted Hilbert space \(L^2(\mathbb{C}, \mathrm{e}^{-|\mathrm{z}|^2})\)

Cites Work

• Unnamed Item
• On Hörmander's solution of the \(\bar{\partial}\)-equation. I
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• The Curious History of Faa di Bruno's Formula
• Notions of convexity

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