{"title":"有界对称域上的克拉克量纲","authors":"Mattia Calzi","doi":"10.1007/s11785-024-01571-9","DOIUrl":null,"url":null,"abstract":"<p>Given a bounded symmetric domain <i>D</i>, we study (positive) pluriharmonic functions on <i>D</i> and investigate a possible analogue of the family of Clark measures associated with a holomorphic function from <i>D</i> into the unit disc in <span>\\(\\mathbb {C}\\)</span>.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Clark Measures on Bounded Symmetric Domains\",\"authors\":\"Mattia Calzi\",\"doi\":\"10.1007/s11785-024-01571-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Given a bounded symmetric domain <i>D</i>, we study (positive) pluriharmonic functions on <i>D</i> and investigate a possible analogue of the family of Clark measures associated with a holomorphic function from <i>D</i> into the unit disc in <span>\\\\(\\\\mathbb {C}\\\\)</span>.</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-07-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11785-024-01571-9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11785-024-01571-9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
给定一个有界对称域 D，我们研究 D 上的（正）诸谐函数，并研究与从 D 进入 \(\mathbb {C}\) 单位圆盘的全形函数相关的克拉克度量族的可能类比。
Given a bounded symmetric domain D, we study (positive) pluriharmonic functions on D and investigate a possible analogue of the family of Clark measures associated with a holomorphic function from D into the unit disc in \(\mathbb {C}\).
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