A generalization of trigonometric convexity and its relation to positive harmonic functions in homogeneous domains

DOI10.1007/BF02791502zbMath1079.31004arXivmath/0407315OpenAlexW2014227305MaRDI QIDQ2565919

Pietro Poggi-Corradini, David Drasin, V. S. Azarin

Publication date: 28 September 2005

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407315

zbMATH Keywords

Green's functionMartin boundaryfundamental solutionspectrumsweepingsubharmonic functionsRiesz decompositiongeneralized trigonometric convexitysubfunction of an operator

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Martin boundary theory (31C35) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Connections of harmonic functions with differential equations in two dimensions (31A35)

Related Items (4)

On the failure of a generalized Denjoy-Wolff theorem ⋮ Brownian motion in self-similar domains ⋮ Brownian motion with a horizontal Bessel drift in a parabolic-type domain ⋮ The Martin kernel for unbounded domains

Cites Work

• The Hardy class of geometric models and the essential spectral radius of composition operators
• La plus petite majorante surharmonique et son rapport avec l'existence des fonctions entières de type exponentiel jouant le rôle de multiplicateurs
• Linear and complex analysis problem book 3. Part 2
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