descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 10 Jul 2017Embargo end date: 01 Jan 2016 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 146, pages 153-160 (issn: 0002-9939, eissn: 1088-6826,

Authors: Hansen, Wolfhard; Netuka, Ivan;

doi: 10.1090/proc/13688 , 10.48550/arxiv.1611.01689

arXiv: 1611.01689

Reduced functions and Jensen measures

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Abstract

Let $��$ be a locally upper bounded Borel measurable function on a Greenian open set $��$ in $R^d$ and, for every $x\in ��$, let $v_��(x)$ denote the infimum of the integrals of $��$ with respect to Jensen measures for $x$ on $��$. Twenty years ago, B.J. Cole and T.J. Ransford proved that $v_��$ is the supremum of all subharmonic minorants of $��$ on $X$ and that the sets $\{v_��

Related Organizations

Bielefeld University
Germany
Charles University
Czech Republic

Keywords

Harmonic, subharmonic, superharmonic functions in higher dimensions, Mathematics - Analysis of PDEs, Pluriharmonic and plurisubharmonic functions, Jensen measure, FOS: Mathematics, 31B05, 31D05, 35J15, 60J45, 60J60, 60J75, Reduced function, Plurisubharmonic functions and generalizations, subharmonic function, axiom of polarity, plurisubharmonic function, Analysis of PDEs (math.AP)

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