Sci Math | Some strong comparison principles and convergence theorems in the capacity and the Dirichlet problem in the class $\scr F\sb p(h)$

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Some strong comparison principles and convergence theorems in the capacity and the Dirichlet problem in the class $\scr F\sb p(h)$

Authors: Lê Mậu Hải, Tăng Văn Long,

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Publisher, magazine: ,

Publication year: 2005

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Abstract

The aim of this paper is to establish the strong comparison principle of Xing type ([Xi1], [Xi2]) for the classes Ep and Fp. As an application of the obtained results, we investigate the convergence in the capacity of the complex Monge-Amp`ere operator for the class Fp as well as solve the Dirichlet problem in the class Fp(h).

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