Open Access
January, 2012 Extension spaces for superharmonic functions and Jensen measures
J. Math. Soc. Japan 64(1): 263-272 (January, 2012). DOI: 10.2969/jmsj/06410263


Let Ω be a Brelot space satisfying the domination principle and has a positive potential. We define the superharmonic extension property (SEP) for Ω and introduce a sufficient condition under which Ω has the SEP property. We give a characterization of the extreme Jensen measures in a Brelot space with SEP property.


Download Citation

Mohammad ALAKHRASS. "Extension spaces for superharmonic functions and Jensen measures." J. Math. Soc. Japan 64 (1) 263 - 272, January, 2012.


Published: January, 2012
First available in Project Euclid: 26 January 2012

zbMATH: 1236.31009
MathSciNet: MR2879745
Digital Object Identifier: 10.2969/jmsj/06410263

Primary: 31C05 , 31D05
Secondary: 31C40

Keywords: Brelot space , finely harmonic measures , Jensen measures , superharmonic function

Rights: Copyright © 2012 Mathematical Society of Japan

Vol.64 • No. 1 • January, 2012
Back to Top