Convergence in capacity and applications

• Autores: Pham Hoang Hiep
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 107, Nº 1, 2010, págs. 90-102
• Idioma: inglés
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• Resumen

  • 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 φ1,…,φm∈PSH∩L∞loc(Ω), h∈C(Rm). We shall then use this result to give some applications.