Zeros sets of \(H^p\) functions in lineally convex domains of finite type in \(\mathbb{C}^n\)

DOI10.1007/s40306-018-0284-xzbMath1423.32028arXiv1805.10199OpenAlexW2963864036MaRDI QIDQ2000815

Philippe Charpentier, Yves Dupain

Publication date: 28 June 2019

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.10199

zbMATH Keywords

lineally convex domains of finite typezero sets of \(H^p\) functions

Mathematics Subject Classification ID

Finite-type domains (32T25) Geometric and analytic invariants on weakly pseudoconvex boundaries (32T27)

Cites Work

• Unnamed Item
• Estimates for solutions of the \(\bar\partial\)-equation and application to the characterization of the zero varieties of the functions of the Nevanlinna class for lineally convex domains of finite type
• Weighted and boundary \(L^{p}\) estimates for solutions of the \(\overline{\partial}\)-equation on lineally convex domains of finite type and applications
• Zero varieties for the Nevanlinna class in convex domains of finite type in \(\mathbb{C}^n\)
• Zeros of \(H^ p\) functions in several complex variables
• Estimates for the \(\bar \partial\)-Neumann problem in pseudoconvex domains of finite type in \(\mathbb{C}^ 2\)
• Zero sets of functions in the Nevanlinna or the Nevanlinna-Djrbachian classes.
• Zero sets of \(\mathcal H^p\) functions in convex domains of finite type
• Zero varieties for the Nevanlinna class on all convex domains of finite type
• On functions of bounded mean oscillation
• Zero sets ofH^pfunctions in convex domains of strict finite type inCⁿ
• Valeurs au bord pour les solutions de l'opérateur $d^n$, et caractérisation des zéros des fonctions de la classe de Nevanlinna
• Extremal bases, geometrically separated domains and applications

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