Cauchy-Riemann equation in real ellipsoids of \(\mathbb{C}^n\)

DOI10.5802/afst.909zbMath0930.32006OpenAlexW2330163920MaRDI QIDQ1284684

Emmanuel Mazzilli

Publication date: 9 February 2000

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

Full work available at URL: http://www.numdam.org/item?id=AFST_1998_6_7_3_527_0

zbMATH Keywords

integral formulas\(\overline\partial\)-operatorreal ellipsoids in \(\mathbb{C}^n\)

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

Sharp estimates for \(\bar\partial\) on convex domains of finite type ⋮ Hölder and \(L^p\) estimates for the \({\bar{\partial }}\)-equation in a class of convex domains of infinite type in \({\mathbb{C}}^n\)

Cites Work

• Sharp Hölder estimates for \({\bar\partial}\) on ellipsoids
• Henkin-Ramirez kernels with weight factors
• Optimal Lipschitz and \(L^p\) regularity for the equation \(\overline\partial u=f\) on strongly pseudo-convex domains
• Optimal \(L^ p\) estimates for the \(\bar \partial\)-equation on complex ellipsoids in \(\mathbb{C}^ n\)
• INTEGRAL REPRESENTATION OF FUNCTIONS IN STRICTLY PSEUDOCONVEX DOMAINS AND APPLICATIONS TO THE $ \overline{\partial}$-PROBLEM
• Unnamed Item

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