{"title":"A global domination principle for\n 𝑃-pluripotential theory","authors":"N. Levenberg, M. Perera","doi":"10.1090/conm/743/14955","DOIUrl":null,"url":null,"abstract":"We prove a global domination principle in the setting of P-pluripotential theory. This has many applications including a general product property for P-extremal functions. The key ingredient is the proof of the existence of a strictly plurisubharmonic P-potential.","PeriodicalId":213844,"journal":{"name":"Complex Analysis and Spectral Theory","volume":"46 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Analysis and Spectral Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/conm/743/14955","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6
Abstract
We prove a global domination principle in the setting of P-pluripotential theory. This has many applications including a general product property for P-extremal functions. The key ingredient is the proof of the existence of a strictly plurisubharmonic P-potential.
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