Densities with the mean value property for harmonic functions in a Lipschitz domain

DOI10.1090/S0002-9939-97-03649-6zbMath0872.31001OpenAlexW1528888444MaRDI QIDQ5690937

Hiroaki Aikawa

Publication date: 9 January 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03649-6

zbMATH Keywords

harmonic functionsmean value propertygradient of harmonic functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (3)

Densities with the Mean Value Property for Sub-Laplacians: An Inverse Problem ⋮ Volume mean densities for the heat equation ⋮ Harmonic functions on metric measure spaces

Cites Work

• Boundary behavior of harmonic functions in non-tangentially accessible domains
• On Strong Barriers and an Inequality of Hardy for Domains in R ⁿ
• Integrability of Superharmonic Functions and Subharmonic Functions
• Volume Densities with the Mean Value Property for Harmonic Functions
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.

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