The \(H^2\)-corona problem on delta-regular domains

DOI10.1016/j.jfa.2024.110363arXiv2206.04455MaRDI QIDQ6119812

Bo-Yong Chen, Xu Xing

Publication date: 25 March 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.04455

zbMATH Keywords

Hardy space\(\overline{\partial}\)-operator\(H^2\)-corona problemdelta-regular domain

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Finite-type domains (32T25) Holomorphic functions of several complex variables (32A10)

Cites Work

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• On the extension of \(L^ 2\) holomorphic functions
• Regularity of the \(\bar {\partial }\)-Neumann problem at point of infinite type
• Comparison of the Bergman and Szegö kernels
• Estimates in the Carleson corona theorem, ideals of the algebra \(H^\infty\), a problem of Sz.-Nagy
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Problème de la couronne pour des domaines pseudoconvexes à bord lisse. (The current problem for pseudoconvex domains with smooth boundary)
• Real hypersurfaces, orders of contact, and applications
• On the Corona problem
• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• BMO functions and the \(\overline\partial\)-equation
• Estimates in the corona theorem and ideals of \(H^\infty\): a problem of T. Wolff.
• Superlogarithmic estimates on pseudoconvex domains and CR manifolds.
• Estimates of solutions of the \(H^p\) and \(BMOA\) corona problem
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Interpolations by bounded analytic functions and the corona problem
• Weighted Bergman spaces and the $\partial -$equation
• The $H^2$ Corona Problem and $\overline \partial_b$ in Weakly Pseudoconvex Domains
• A History of the Corona Problem
• Bounded Holomorphic Functions on Finite Riemann Surfaces
• Generators for some rings of analytic functions
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
• Application des techniques $L^2$ à la théorie des idéaux d'une algèbre de fonctions holomorphes avec poids
• A proof of the Corona conjecture for finite open Riemann surfaces

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