Liouville's theorem and the restricted mean value property in the plane

DOI10.1016/S0021-7824(01)80004-0zbMath0919.31002MaRDI QIDQ1277404

Wolfhard Hansen

Publication date: 28 July 1999

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

Liouville's theoremmedian functionsupermedian functionrestricted mean value

Mathematics Subject Classification ID

Two-dimensional potential theory (31A99)

Related Items (3)

Littlewood's one-circle problem, revisited ⋮ Liouville's theorem and the restricted biharmonic mean value property. ⋮ Mean value properties of harmonic functions and related topics (a survey)

Cites Work

• Mean values and harmonic functions
• A converse to the mean value theorem for harmonic functions
• Restricted mean value property on \(\mathbb{R}^ d, d\leq 2\)
• Liouville's theorem and the restricted mean value property

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