Jensen measures in product harmonic spaces

Verfasser / Beitragende:
[Mohammad Alakhrass]
Ort, Verlag, Jahr:
2015
Enthalten in:
Annali di Matematica Pura ed Applicata (1923 -), 194/2(2015-04-01), 563-568
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10231-013-0388-9  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10231-013-0388-9 
100 1 |a Alakhrass  |D Mohammad  |u Mathematics Department, University of Sharjah, Sharjah, United Arab Emirates  |4 aut 
245 1 0 |a Jensen measures in product harmonic spaces  |h [Elektronische Daten]  |c [Mohammad Alakhrass] 
520 3 |a 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. 
540 |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 
690 7 |a Multiply superharmonic functions  |2 nationallicence 
690 7 |a Jensen measures  |2 nationallicence 
690 7 |a Extreme elements  |2 nationallicence 
690 7 |a Balayaged measures  |2 nationallicence 
690 7 |a Fine open set  |2 nationallicence 
773 0 |t Annali di Matematica Pura ed Applicata (1923 -)  |d Springer Berlin Heidelberg  |g 194/2(2015-04-01), 563-568  |x 0373-3114  |q 194:2<563  |1 2015  |2 194  |o 10231 
856 4 0 |u https://doi.org/10.1007/s10231-013-0388-9  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10231-013-0388-9  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Alakhrass  |D Mohammad  |u Mathematics Department, University of Sharjah, Sharjah, United Arab Emirates  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Annali di Matematica Pura ed Applicata (1923 -)  |d Springer Berlin Heidelberg  |g 194/2(2015-04-01), 563-568  |x 0373-3114  |q 194:2<563  |1 2015  |2 194  |o 10231