Boundary behaviour of functions in weighted Dirichlet spaces

DOI10.1007/BF03321650zbMath1166.30025MaRDI QIDQ925158

J. Brian Twomey, Finbarr Holland

Publication date: 30 May 2008

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

radial variationradial limitsexceptional setszero capacity

Mathematics Subject Classification ID

Dirichlet forms (31C25) Spaces of bounded analytic functions of one complex variable (30H05) Potentials and capacities on other spaces (31C15) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bessel capacity, Hausdorff content and the tangential boundary behavior of harmonic functions
• Tangential boundary behavior of functions in Dirichlet-type spaces
• On the boundary limits of harmonic functions with gradient in \(L^p\)
• The variation of holomorphic functions on tangential boundary curves
• TANGENTIAL BOUNDARY BEHAVIOUR OF HARMONIC AND HOLOMORPHIC FUNCTIONS
• A High-Indices Theorem
• Tangential Limits of Functions of the Class S α
• Radial variation of functions in Dirichlet‐type spaces
• Subsequences of the partial sums of a trigonometric series which are everywhere convergent to zero
• A Theory of Capacities for Potentials of Functions in Lebesgue Classes.

This page was built for publication: Boundary behaviour of functions in weighted Dirichlet spaces