Convergence in capacity and applications
DOI:
https://doi.org/10.7146/math.scand.a-15144Abstract
In this article we prove that if uj,vj,w∈E(Ω) such that uj,vj≥w, ∀ j≥1, and |uj−vj|→0 in Cn-capacity, then limj→∞h(φ1,…,φm)[(ddcuj)n−(ddcvj)n]=0 in the weak-topology of measures for all \varphi_1,\ldots ,\varphi_m\in{\operatorname{PSH}}\cap L_{\operatorname {loc}}^\infty (\Omega), h\in C(\mathsf{R}^m). We shall then use this result to give some applications.Downloads
Published
2010-09-01
How to Cite
Hiep, P. H. (2010). Convergence in capacity and applications. MATHEMATICA SCANDINAVICA, 107(1), 90–102. https://doi.org/10.7146/math.scand.a-15144
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