caa a22 4500 60549665X CHVBK 20210128100537.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10231-013-0388-9 doi (NATIONALLICENCE)springer-10.1007/s10231-013-0388-9 Alakhrass Mohammad Mathematics Department, University of Sharjah, Sharjah, United Arab Emirates aut Jensen measures in product harmonic spaces [Elektronische Daten] [Mohammad Alakhrass] Let $$\Omega _j \subset \mathbf {R}^{n_j}\,(j=1,2)$$ Ω j ⊂ R n j ( j = 1 , 2 ) be an open connected set; here if $$n_j=2$$ n j = 2 , it is assumed that $$\Omega $$ Ω has a Green function. The concept of Jensen measure is extended to classes of multiply superharmonic functions on $$\Omega _1\times \Omega _2$$ Ω 1 × Ω 2 . It is proved that product of extreme Jensen measures on the component space is an extreme Jensen measure in the product space. The article is finished by raising a question that is left as an open problem for further investigation. Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 Multiply superharmonic functions nationallicence Jensen measures nationallicence Extreme elements nationallicence Balayaged measures nationallicence Fine open set nationallicence Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/2(2015-04-01), 563-568 0373-3114 194:2<563 2015 194 10231 https://doi.org/10.1007/s10231-013-0388-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10231-013-0388-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Alakhrass Mohammad Mathematics Department, University of Sharjah, Sharjah, United Arab Emirates aut NATIONALLICENCE 773 0- Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/2(2015-04-01), 563-568 0373-3114 194:2<563 2015 194 10231