Littlewood's one-circle problem, revisited

DOI10.1016/j.exmath.2008.04.001zbMath1160.31002OpenAlexW2076260442MaRDI QIDQ953911

Wolfhard Hansen

Publication date: 6 November 2008

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2008.04.001

zbMATH Keywords

areaharmonic functionMarkov chainlengthmean value property

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Length, area, volume, other geometric measure theory (28A75)

Related Items (6)

Harnack type inequality for positive solution of some integral equation ⋮ Restricted mean value property for Balayage spaces with jumps ⋮ Mean value properties of harmonic functions and related topics (a survey) ⋮ One-radius results for supermedian functions on \({\mathbb R^d} , d \leq \) 2 ⋮ The intersection of typical Besicovitch sets with lines ⋮ Mean value properties and unique continuation

Cites Work

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• Liouville's theorem and the restricted mean value property in the plane
• A converse to the mean value theorem for harmonic functions
• Liouville's theorem and the restricted mean value property
• Littlewood's One Circle Problem
• A Strong Version of Liouville's Theorem
• Harmonic functions and averages on shells
• A Liouville property for spherical averages in the plane

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