Superharmonic functions in Hölder domains

DOI10.1216/rmjm/1181072160zbMath0863.31002OpenAlexW1969181285MaRDI QIDQ1915737

David A. Stegenga, David C. Ullrich

Publication date: 1 July 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072160

zbMATH Keywords

integrabilitysuperharmonic functionHölder domain\(LP\) domainsconnected planar domains

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items

Global integrability of supertemperatures ⋮ Integrability of Superharmonic Functions and Subharmonic Functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A distortion theorem for conformal mappings with an application to subharmonic functions
• On the existence of boundary values for harmonic functions in several variables
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• Hölder continuity of conformal mappings and non-quasiconformal Jordan curves
• Quasiconformally homogeneous domains
• Principle de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique dans un domaine lipschitzien
• Estimates of harmonic measure
• Holder Domains and Poincare Domains
• Lipschitz classes and quasiconformla mappings
• A Geometric Characterization of Hölder Domains
• The Integrability of Superharmonic Functions on Lipschitz Domains
• Positive Harmonic Functions and Complete Metrics
• Integrability of Superharmonic Functions on Holder Domains of the Plane
• Integrability of Superharmonic Functions and Subharmonic Functions
• Positive Harmonic Functions on Lipschitz Domains
• Further Results on the Global Integrability of Superharmonic Functions
• Research Problems in Complex Analysis