Characterization of mean value harmonic functions on norm induced metric measure spaces with weighted Lebesgue measure

zbMath1434.31004arXiv1804.10005MaRDI QIDQ5208952

Antoni Kijowski

Publication date: 22 January 2020

Full work available at URL: https://arxiv.org/abs/1804.10005

zbMATH Keywords

harmonic functionsmean value propertymetric measure space

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Analysis on metric spaces (30L99)

Related Items (2)

Harmonic functions on metric measure spaces ⋮ Asymptotically mean value harmonic functions in doubling metric measure spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Dirichlet problem for solutions of a restricted nonlinear mean value property.
• Harmonic functions on metric measure spaces
• A priori Hölder and Lipschitz regularity for generalized \(p\)-harmonious functions in metric measure spaces
• Mean value property and harmonicity on Carnot-Carathéodory groups
• The converse of Gauß's theorem for harmonic functions
• On the characterization of \(p\)-harmonic functions on the Heisenberg group by mean value properties
• Characterization by asymptotic mean formulas of \(q\)-harmonic functions in Carnot groups
• Some Remarks on the Group of Isometries of a Metric Space
• A discrete Faa di Bruno's formula
• Functions Satisfying a Weighted Average Property
• Functions with a Mean Value Property II
• Functions Satisfying a Weighted Average Property. II
• Generalized Eigenfunctions of the Laplace Operator and Weighted Average Property

This page was built for publication: Characterization of mean value harmonic functions on norm induced metric measure spaces with weighted Lebesgue measure