A note on weighted pluricomplex energy class $\mathcal E_\chi(\Omega)$

The main aim of this note is to study the local property of the weighted pluricomplex energy class E () and the complex Monge -Ampre measure class M ,loc () on this function class.At the same time, we also study the complete pluripolar sets in class E ().As an application, we describe the relations between the class E () with the classes B 0 () and B 0 ().

Publication Details

Journal
Applied Set-Valued Analysis and Optimization
Published
2025-01-01
DOI
https://doi.org/10.23952/asvao.7.2025.2.03
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
0.00
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article

A note on weighted pluricomplex energy class $\mathcal E_\chi(\Omega)$

Applied Set-Valued Analysis and Optimization
Geometry and complex manifolds
article

A note on weighted pluricomplex energy class $\mathcal E_\chi(\Omega)$

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Abstract

The main aim of this note is to study the local property of the weighted pluricomplex energy class E () and the complex Monge -Ampre measure class M ,loc () on this function class.At the same time, we also study the complete pluripolar sets in class E ().As an application, we describe the relations between the class E () with the classes B 0 () and B 0 ().

Applied Set-Valued Analysis and OptimizationVol. 7(2)
Affordable and clean energy
Openalex Percentile: Top 90%
Geometry and complex manifolds
DOIOpen Access PDFOpenAlex
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A note on weighted pluricomplex energy class $\mathcal E_\chi(\Omega)$ · Applied Set-Valued Analysis and Optimization (2025) | TGRS Research Map | TGRS