Boundary Continuity of Holomorphic Functions in the Ball

DOI10.2307/2046073zbMath0589.32011OpenAlexW4241979438MaRDI QIDQ3717373

Frank jun. Beatrous

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2046073

zbMATH Keywords

continuous extensionboundary behaviour of holomorphic functions in the unit ball

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)

Related Items

Analysis on Besov spaces. II: Embedding and duality theorems ⋮ On holomorphic functions in the ball with absolutely continuous boundary values ⋮ On multipliers for Hardy-Sobolev spaces ⋮ Fractional derivatives of pointwise multipliers between holomorphic spaces ⋮ An exact estimate of the boundary behavior of functions from Hardy-Sobolev classes in the critical case ⋮ Toeplitz operators on weighted Hardy and Besov spaces

Cites Work

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• Estimates for derivatives of holomorphic functions in pseudoconvex domains
• Factorization theorems for Hardy spaces in several variables
• Analysis on the Heisenberg group and estimates for functions in Hardy classes of several complex variables
• Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis
• INTEGRAL REPRESENTATIONS OF FUNCTIONS HOLOMORPHIC IN STRICTLY PSEUDO-CONVEX DOMAINS AND SOME APPLICATIONS
• Theorems on Fourier Series and Power Series (II)^†

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