Convergence in capacity and applications

Authors

  • Pham Hoang Hiep

DOI:

https://doi.org/10.7146/math.scand.a-15144

Abstract

In this article we prove that if uj,vj,wE(Ω) such that uj,vjw,  j1, and |ujvj|0 in Cn-capacity, then limjh(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.

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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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Section

Articles