Hoang Nhat Quy, A note on weighted pluricomplex energy class $\mathcal E_\chi(\Omega)$

Full Text: PDF
DOI: 10.23952/asvao.7.2025.2.03
Volume 7, Issue 2, 1 August 2025, Pages 179-189

Abstract. The main aim of this note is to study the local property of the weighted pluricomplex energy class $\mathcal E_\chi(\Omega)$ and the complex Monge – Ampère measure class $\mathcal M_{\chi,loc}(\Omega)$ on this function class. At the same time, we also study the complete pluripolar sets in class $\mathcal E_\chi(\Omega)$ . As an application, we describe the relations between the class $\mathcal E_\chi(\Omega)$ with the classes $\mathcal B_0(\Omega)$ and $\overline{\mathcal B}_0(\Omega)$ .

How to Cite this Article:
H.N. Quy, A note on weighted pluricomplex energy class $\mathcal E_\chi(\Omega)$ , Appl. Set-Valued Anal. Optim. 7 (2025), 179-189.