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On domains in which harmonic functions satisfy generalized mean value properties

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Publication:1368571
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DOI10.1023/A:1017915828219zbMath0882.31002OpenAlexW1596224154MaRDI QIDQ1368571

Harold S. Shapiro, Björn Gustafsson, Makoto Sakai

Publication date: 2 March 1998

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1017915828219


zbMATH Keywords

balayageMartin boundarymean valuequadrature domainpositive harmonic functionspositive quadrature domain


Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Martin boundary theory (31C35) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)


Related Items (6)

Restriction operators, balayage and doubly orthogonal systems of analytic functions ⋮ Approximation in the cone of positive harmonic functions ⋮ Canonical sets of best \(L_1\)-approximation ⋮ Potential theory and approximation: highlights from the scientific work of Stephen Gardiner ⋮ Quadrature Domains and Their Two-Phase Counterparts ⋮ Best one-sided \(L^1\)-approximation by blending functions of order \((2,2)\)






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