An application of fine potential theory to prove a Phragmen-Lindelöf theorem

DOI10.5802/AIF.964zbMath0522.30024OpenAlexW2095414476MaRDI QIDQ1055920

Terence J. Lyons

Publication date: 1984

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1984__34_2_63_0

zbMATH Keywords

Phragmen-Lindelöf theorem

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Cites Work

• Sur les fonctions finement holomorphes
• Finely holomorphic functions
• Analytic functions satisfying Hölder conditions on the boundary
• Processus de Markov: la frontière de Martin
• Conditional brownian motion and the boundary limits of harmonic functions
• A Phragmen-Lindelof Theorem Conjectured by D. J. Newman
• A New Criterion of Dirichlet Regularity via the Quasi-Boundedness of the Fundamental Superharmonic Function

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