Zero sets of holomorphic functions in the unit ball with slow growth

DOI10.1007/BF02788823zbMath0858.32009OpenAlexW2095411642MaRDI QIDQ1909257

Xavier Massaneda, Joaquim Bruna

Publication date: 11 March 1996

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

Full work available at URL: https://doi.org/10.1007/bf02788823

zbMATH Keywords

interpolating sequencesuniform Blaschke conditionCarleson-type conditions

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (8)

On the distribution of zero sets of holomorphic functions ⋮ Nonuniqueness sequences for weighted algebras of holomorphic functions in the unit circle ⋮ Interpolation by holomorphic functions in the unit ball with polynomial growth ⋮ Uniqueness theorems for Korenblum type spaces ⋮ On zeros of functions rapidly growing in generalized Bergman spaces ⋮ Subsequences of zeros for classes of holomorphic functions, their stability, and the entropy of arcwise connectedness. I ⋮ Subsequences of zeros for classes of holomorphic functions, their stability, and the entropy of arcwise connectedness. II ⋮ Uniqueness theorem and subharmonic test function

Cites Work

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• Sur Le Volume Des Zeros Des Fonctions Holomorphes et Bornees dans la Boule de C n

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