Geodesic
Duality in spaces of functions pluriharmonic in the unit ball in $\mathbb{C}^n$
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2016), pp. 15-21 Cet article a éte moissonné depuis la source Math-Net.Ru

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Banach spaces $h_\infty (\varPhi)$, $h_0 (\varPhi)$ and $h^1(\eta) $ of functions, pluriharmonic in the unit ball in $\mathbb{C}^n$, depending on weight function $\varPhi$ and weighting measure $\eta$ are introduced. The question we consider is: for given $\varPhi$ we find a finite positive Borel measure $\eta$ on $[0,1)$ such that $h^1(\eta)^* $ $\thicksim$ $h_\infty (\varPhi)$ and $h_0 (\varPhi)^*$ $\thicksim$ $h^1(\eta)$.
Keywords: pluriharmonic function, unit ball in $\mathbb{C}^n$, duality, weighted spaces, projection, reproducing kernel. 
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N. T. Gapoyan. Duality in spaces of functions pluriharmonic in the unit ball in $\mathbb{C}^n$. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2016), pp. 15-21. http://geodesic.mathdoc.fr/item/UZERU_2016_2_a2/

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