具有LEBESGUE可测增益的极小积分的凹性

Pub Date : 2023-06-05 DOI:10.1017/nmj.2023.12

Q. Guan, Zheng Yuan

{"title":"具有LEBESGUE可测增益的极小积分的凹性","authors":"Q. Guan, Zheng Yuan","doi":"10.1017/nmj.2023.12","DOIUrl":null,"url":null,"abstract":"\n In this article, we present a concavity property of the minimal \n \n \n \n$L^{2}$\n\n \n integrals related to multiplier ideal sheaves with Lebesgue measurable gain. As applications, we give necessary conditions for our concavity degenerating to linearity, characterizations for 1-dimensional case, and a characterization for the holding of the equality in optimal \n \n \n \n$L^2$\n\n \n extension problem on open Riemann surfaces with weights may not be subharmonic.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"CONCAVITY PROPERTY OF MINIMAL INTEGRALS WITH LEBESGUE MEASURABLE GAIN\",\"authors\":\"Q. Guan, Zheng Yuan\",\"doi\":\"10.1017/nmj.2023.12\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n In this article, we present a concavity property of the minimal \\n \\n \\n \\n$L^{2}$\\n\\n \\n integrals related to multiplier ideal sheaves with Lebesgue measurable gain. As applications, we give necessary conditions for our concavity degenerating to linearity, characterizations for 1-dimensional case, and a characterization for the holding of the equality in optimal \\n \\n \\n \\n$L^2$\\n\\n \\n extension problem on open Riemann surfaces with weights may not be subharmonic.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-06-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1017/nmj.2023.12\",\"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/10.1017/nmj.2023.12","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 10

摘要

在本文中，我们给出了与具有Lebesgue可测量增益的乘法器理想槽轮有关的最小$L^{2}$积分的凹性。作为应用，我们给出了凹性退化为线性的必要条件，一维情况的特征，以及在具有权重的开Riemann曲面上最优$L^2$扩张问题中等式成立的特征可能不是次调和的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

CONCAVITY PROPERTY OF MINIMAL INTEGRALS WITH LEBESGUE MEASURABLE GAIN

In this article, we present a concavity property of the minimal $L^{2}$ integrals related to multiplier ideal sheaves with Lebesgue measurable gain. As applications, we give necessary conditions for our concavity degenerating to linearity, characterizations for 1-dimensional case, and a characterization for the holding of the equality in optimal $L^2$ extension problem on open Riemann surfaces with weights may not be subharmonic.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助