A characterisation of tangential exceptional sets for αp = n

DOI10.1017/S0308210500022940zbMath0881.32003OpenAlexW2330967899MaRDI QIDQ4885636

Carmen Cascante, Joaquin M. Ortega Aramburu

Publication date: 28 July 1996

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500022940

zbMATH Keywords

Hardy-Sobolev spaceunit ball in \(\mathbb{C}^ n\)tangential exceptional sets

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Boundary behavior of holomorphic functions of several complex variables (32A40) Global boundary behavior of holomorphic functions of several complex variables (32E35)

Cites Work

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• Tangential boundary behavior of functions in Dirichlet-type spaces
• Estimates for derivatives of holomorphic functions in pseudoconvex domains
• Strong \(L^ p\) estimates for maximal functions with respect to singular measures; with applications to exceptional sets
• On holomorphic functions in the ball with absolutely continuous boundary values
• Tangential boundary limits and exceptional sets for holomorphic functions in Dirichlet-type spaces
• Imbedding theorems of Sobolev type in potential theory.
• Boundary Tangential Convergence on Spaces of Homogeneous Type

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