A Strong Version of Liouville's Theorem

DOI10.1080/00029890.2008.11920570zbMath1161.31001OpenAlexW2396202387WikidataQ58252557 ScholiaQ58252557MaRDI QIDQ5506269

Wolfhard Hansen

Publication date: 28 January 2009

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2008.11920570

zbMATH Keywords

harmonic functionmean value propertyLiouville's theorem

Mathematics Subject Classification ID

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

Related Items (6)

Liouville's theorem and the restricted biharmonic mean value property on the plane ⋮ One-radius theorem for harmonic tempered distributions ⋮ Restricted mean value property for Balayage spaces with jumps ⋮ Littlewood's one-circle problem, revisited ⋮ Mean value properties of harmonic functions and related topics (a survey) ⋮ One-radius results for supermedian functions on \({\mathbb R^d} , d \leq \) 2

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