Superharmonic functions associated with hypoelliptic non-Hörmander operators

DOI10.1142/S0219199718500712zbMath1444.35028OpenAlexW2895881275MaRDI QIDQ5113111

Stefano Biagi, Erika Battaglia

Publication date: 10 June 2020

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199718500712

zbMATH Keywords

Poisson-Jensen formulaRiesz decomposition theorem

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Subelliptic equations (35H20)

Related Items

Large sets at infinity and maximum principle on unbounded domains for a class of sub-elliptic operators ⋮ Riesz-type representation formulas for subharmonic functions in sub-Riemannian settings ⋮ Large sets at infinity and Maximum Principle on unbounded domains for a class of sub-elliptic operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The strong maximum principle and the Harnack inequality for a class of hypoelliptic non-Hörmander operators
• Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hypoelliptic differential operators and nilpotent groups
• Subharmonic functions in sub-Riemannian settings
• Normal families of functions for subelliptic operators and the theorems of Montel and Koebe
• A remark on the stability of \(C^\infty \)-hypoellipticity under lower-order perturbations
• Harmonic spaces and their potential theory
• Hypoelliptic second order differential equations
• Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
• Les fonctions surharmoniques dans l'axiomatique de Monsieur Brelot associées à un opérateur elliptique dégénéré. (Superharmonic functions in the axiomatics of Monsieur Brelot associated with a degenerate elliptic operator)
• On the theory of potentials in locally compact spaces
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• The uncertainty principle and sharp gårding inequalities
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• The existence of a global fundamental solution for homogeneous Hörmander operators via a global lifting method
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)