Division of holomorphic functions and growth conditions

zbMath1307.32007arXiv1207.1565MaRDI QIDQ470843

Emmanuel Mazzilli, William Alexandre

Publication date: 13 November 2014

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.1565

zbMATH Keywords

Bergman spacebounded holomorphic functionsBMOA-spacedivision of holomorphic functionsstrictly convex domains in \(\mathbb C^n\)

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Boundary behavior of holomorphic functions of several complex variables (32A40) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Cites Work

• Currents of residual type associated with a complete intersection
• Henkin-Ramirez kernels with weight factors
• On the Corona problem
• BMO functions and the \(\overline\partial\)-equation
• Estimates on the Bergman kernels of convex domains
• Division des distributions et applications à l'étude d'idéaux de fonctions holomorphes. (Division distributions and applications to the study of ideals of holomorphic functions).
• Convex domains of finite type
• Wolff type estimates and the \(H^ p\) Corona problem in strictly pseudoconvex domains
• Estimates of solutions of the \(H^p\) and \(BMOA\) corona problem
• Multipliers in Hardy-Sobolev spaces
• Interpolations by bounded analytic functions and the corona problem

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