Nguyen Xuan Hong , Hoang Van Can , Nguyen Thi Lien , Pham Thi Lieu
{"title":"Complex Monge–Ampère equations for plurifinely plurisubharmonic functions","authors":"Nguyen Xuan Hong , Hoang Van Can , Nguyen Thi Lien , Pham Thi Lieu","doi":"10.1016/j.indag.2022.12.008","DOIUrl":null,"url":null,"abstract":"<div><p>This paper studies the complex Monge–Ampère equations for <span><math><mi>F</mi></math></span>-plurisubharmonic functions in bounded <span><math><mi>F</mi></math></span><span>-hyperconvex domains. We give sufficient conditions<span> for this equation to solve for measures with a singular part.</span></span></p></div>","PeriodicalId":56126,"journal":{"name":"Indagationes Mathematicae-New Series","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indagationes Mathematicae-New Series","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0019357722001173","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
This paper studies the complex Monge–Ampère equations for -plurisubharmonic functions in bounded -hyperconvex domains. We give sufficient conditions for this equation to solve for measures with a singular part.
期刊介绍:
Indagationes Mathematicae is a peer-reviewed international journal for the Mathematical Sciences of the Royal Dutch Mathematical Society. The journal aims at the publication of original mathematical research papers of high quality and of interest to a large segment of the mathematics community. The journal also welcomes the submission of review papers of high quality.