On the Boundary Behavior of Holomorphic and Harmonic Functions

DOI10.1007/978-88-470-2853-1_9zbMath1266.30023OpenAlexW976690684MaRDI QIDQ4913300

Fausto Di Biase

Publication date: 5 April 2013

Published in: Trends in Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-88-470-2853-1_9

zbMATH Keywords

Hardy spacesboundary behaviorharmonic functionsholomorphic functionsapproach regions

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20) Hardy spaces (30H10) Function theory on the disc (30J99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On certain maximal functions and approach regions
• Invariant metrics and the boundary behavior of holomorphic functions on domains in \({\mathbb{C}}^ n\)
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• Fonctions holomorphes bornees et limites tangentielles
• Balls and metrics defined by vector fields. I: Basic properties
• Negatively curved manifolds, elliptic operators, and the Martin boundary
• Set theory. An introduction to independence proofs
• On equality of line type and variety type of real hypersurfaces in \(\mathbb{C}^ n\)
• Set theory. An introduction to large cardinals
• Équation de la chaleur associée à une fonction plurisousharmonique d'exhaustion et comportement frontière
• Fatou type theorems. Maximal functions and approach regions
• Boundary behaviour of \(H^p\) functions on convex domains of finite type in \(\mathbb{C}^n\)
• Convex domains of finite type
• Harmonic Functions and Green Potentials Having No Tangential Limits
• Harmonic Functions having no Tangential Limits
• Boundary behavior of functions holomorphic in domains of finite type
• Inner function images of radii
• Sharpness of the Korányi approach region
• Several Complex Variables and the Geometry of Real Hypersurfaces
• Lp Estimates for (Pluri-) Subharmonic Functions.
• Harmonic Functions on Hermitian Hyperbolic Space
• Some Maximal Inequalities
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
• What is Cantor's Continuum Problem?

This page was built for publication: On the Boundary Behavior of Holomorphic and Harmonic Functions