Subextension of plurisubharmonic functions without changing the Monge-Ampère measures and applications

• Autorzy: Le Mau Hai , Nguyen Xuan Hong
• Języki publikacji: EN

Abstrakty

EN

The aim of the paper is to investigate subextensions with boundary values of certain plurisubharmonic functions without changing the Monge-Ampère measures. From the results obtained, we deduce that if a given sequence is convergent in $C_{n-1}$-capacity then the sequence of the Monge-Ampère measures of subextensions is weakly*-convergent. As an application, we investigate the Dirichlet problem for a nonnegative measure μ in the class ℱ(Ω,g) without the assumption that μ vanishes on all pluripolar sets.

Kategorie tematyczne

• 32W20: Complex Monge-Amp\`ere operators
• 32U15: General pluripotential theory
• 32U05: Plurisubharmonic functions and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 112
• Numer: 1
• Strony: 55-66

Daty

wydano

2014

Twórcy

autor

Le Mau Hai

• Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam

autor

Nguyen Xuan Hong

• Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam

Identyfikatory

DOI

10.4064/ap112-1-5