Square means versus Dirichlet integrals for harmonic functions on Riemann surfaces

DOI10.2748/tmj/1341249373zbMath1262.30038OpenAlexW1974347940MaRDI QIDQ447965

Hiroaki Masaoka, Mitsuru Nakai

Publication date: 30 August 2012

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmj/1341249373

zbMATH Keywords

Hardy spaceafforested surfacemean bounded functionsParreau decompositionWiener harmonic boundary

Mathematics Subject Classification ID

Ideal boundary theory for Riemann surfaces (30F25) Harmonic functions on Riemann surfaces (30F15) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Classification theory of Riemann surfaces (30F20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonreflexivity of Banach spaces of bounded harmonic functions on Riemann surfaces
• An application of capacitary functions to an inverse inclusion problem
• The classes of bounded harmonic functions and harmonic functions with finite Dirichlet integrals on hyperbolic Riemann surfaces
• Types of afforested surfaces
• Extremal functions for capacities
• Dirichlet integrals on harmonic spaces
• Boundary properties of functions with finite Dirichlet integrals
• Sur les moyennes des fonctions harmoniques et analytiques et la classification des surfaces de Riemann

This page was built for publication: Square means versus Dirichlet integrals for harmonic functions on Riemann surfaces