Traces on curves of Sobolev spaces of holomorphic functions

DOI10.1007/BF02384329zbMath0737.46014MaRDI QIDQ1174917

Joaquim Bruna, Joaquin M. Ortega Aramburu

Publication date: 25 June 1992

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

zbMATH Keywords

Besov spacesBergman-Sobolev spacestrace of the Hardy-Sobolev space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Related Items (2)

Holomorphic Triebel-Lizorkin spaces ⋮ Interpolation along manifolds in Hardy-Sobolev spaces

Cites Work

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• Interpolation by holomorphic functions smooth to the boundary in the unit ball of \({\mathbb{C}}^ n\)
• On holomorphic functions in the ball with absolutely continuous boundary values
• Exceptional sets for holomorphic Sobolev functions
• Factorization theorems for Hardy spaces in several variables
• Smooth zero sets and interpolation sets for some algebras of holomorphic functions on strictly pseudoconvex domains
• Analysis on the Heisenberg group and estimates for functions in Hardy classes of several complex variables
• Ensembles pics dans des domaines strictement pseudo-convexes
• Maximal and area integral characterizations of Hardy-Sobolev spaces in the unit ball of \({\mathbb{C}}^ n\)
• Boundary Regularity for Harmonic Hardy-Sobolev Spaces

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