Local property of the class \(\mathcal E_{\chi}, loc\)
type: Item
instance of: scholarly article
title: Local property of the class \(\mathcal E_{\chi}, loc\)
zbMATH Open document ID: 1292.32024
author: Hai Mau Le
author: Hoang Nhat Quy
author: Hoàng Hiệp Phạm
published in: Journal of Mathematical Analysis and Applications
publication date: 2013-04-22T00:00:00Z
review text: This paper is concerned with local properties of the classes of plurisubharmonic functions with finite weigthed energy in bounded hyperconvex domains in \(\mathbb C^n\) introduced by \textit{S. Benelkourchi} et al. [in: Complex analysis and digital geometry. Proceedings from the Kiselmanfest, Uppsala, Sweden, 2006, on the occasion of Christer Kiselman's retirement. Uppsala: Univ. Uppsala. 57--74 (2009; Zbl 1200.32021)]. These classes are related to the definition of the complex Monge-Ampère operator discovered by \textit{U. Cegrell} [Acta Math. 180, No. 2, 187--217 (1998; Zbl 0926.32042)]. In this paper the authors introduce local versions of the weighted energy classes and investigate their properties depending on the growth properties of the weights.
reviewed by: Ahmed Zeriahi
Mathematics Subject Classification ID: 32U05
zbMATH DE Number: 6156136
zbMATH Keywords: plurisubharmonic functions
zbMATH Keywords: energy classes
MaRDI profile type: Publication
full work available at URL: j.jmaa.2013.01.048
OpenAlex ID: W2313532195
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DOI: 10.1016/J.JMAA.2013.01.048
description: scientific article; zbMATH DE number 6156136