An equality on the complex Monge-Ampère measures

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• 作者：Le Mau Hai^a ; ^{mauhai@fpt.vn" class="auth_mail" title="E-mail the corresponding author} ; Pham Hoang Hiep^b ; ^{phhiep@math.ac.vn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Class E(Ω)E(Ω) ; Complex Monge&ndash ; Ampè ; re measures ; Plurifinely open set ; Plurisubharmonic functions that are bounded near the boundary
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：1 December 2016
• 年：2016
• 卷：444
• 期：1
• 页码：503-511
• 全文大小：281 K

文摘

In this study, we extend an equality on the complex Monge–Ampère measures of Bedford–Taylor, which holds in the class of locally bounded plurisubharmonic functions, to the class E(Ω)$\mathcal{E}(\mathrm{\Omega })$ introduced and investigated by Cegrell in [4], and the class of plurisubharmonic functions that are bounded near the boundary.