Some conditions on Bergman space zero sets

DOI10.1007/BF02835961zbMath0795.30006OpenAlexW2095568302MaRDI QIDQ1326669

Charles Horowitz

Publication date: 18 May 1994

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02835961

zbMATH Keywords

Jensen's inequalityBergman spacesBlaschke productzero set

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (8)

Unnamed Item ⋮ Zero sets and random zero sets in certain function spaces ⋮ Zero sequences, factorization and sampling measures for weighted Bergman spaces ⋮ Regular sets of sampling and interpolation in Bergman spaces ⋮ Onα-Polynomial Regular Functions, with Applications to Ordinary Differential Equations ⋮ Weighted Bergman spaces induced by rapidly incresing weights ⋮ Rational approximation in a class of weighted Hardy spaces ⋮ Random zero sets for Fock type spaces

Cites Work

• Unnamed Item
• Unnamed Item
• A probabilistic zero set condition for the Bergman space
• A Blaschke-type product and random zero sets for Bergman spaces
• Zeros of functions in the Bergman spaces
• An extension of the Nevanlinna theory
• A factorization theorem for square area-integrable analytic functions.

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