Extension de fonctions analytiques avec estimation

DOI10.1007/BF02385462zbMath0446.32004MaRDI QIDQ1145797

Eric Amar

Publication date: 1979

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

interpolationCarleson measureBMO functionsCorona problemHp spacesautomorphism of complex 2-ballholomorphic function of bounded mean oscillationHp function

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Boundary behavior of holomorphic functions of several complex variables (32A40) Other generalizations of function theory of one complex variable (32A30) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items

Traces of functions from \(H^{\infty}({\mathbb{B}}^ n)\) on certain sets of hyperplanes ⋮ Blaschke product for a Hilbert space with Schwarz-Pick kernel ⋮ Hardy classes and related spaces of analytic functions in the unit circle, polydisc, and the ball ⋮ On the Corona problem ⋮ An analog of the Stolz angle for the unit ball in \(\mathbb{C}^n\) ⋮ Interpolating sequences of complex hyperplanes in the unit ball of \({\mathbb{C}}^ n\)

Cites Work

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• Interpolations by bounded analytic functions and the corona problem
• An Interpolation Problem for Bounded Analytic Functions
• Valeurs au bord pour les solutions de l'opérateur $d^n$, et caractérisation des zéros des fonctions de la classe de Nevanlinna
• Lp Estimates for (Pluri-) Subharmonic Functions.
• Generators for some rings of analytic functions
• On Some Interpolation Problems for Analytic Functions