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From Local to Global Properties of Subharmonic Functions on Green Spaces
Author(s) -
Gauthier P. M.,
Goldstein Myron
Publication year - 1977
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-16.3.458
Subject(s) - subharmonic , subharmonic function , harmonic function , mathematics , boundary (topology) , harmonic , mathematical analysis , harmonic measure , point (geometry) , pure mathematics , hardy space , dirichlet distribution , boundary value problem , physics , acoustics , geometry , nonlinear system , quantum mechanics
On certain domains, if v is subharmonic and possesses a harmonic majorant near each boundary point, then v has a global harmonic majorant. Applications are given to Hardy classes and to a Dirichlet problem.
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