Fusheng Deng , Jinjin Hu , Weiwen Jiang , Xiangsen Qin
{"title":"连接凸分析和复分析以及d和∂¯的l2估计的桥梁","authors":"Fusheng Deng , Jinjin Hu , Weiwen Jiang , Xiangsen Qin","doi":"10.1016/j.jfa.2025.110917","DOIUrl":null,"url":null,"abstract":"<div><div>We propose a way to connect complex analysis and convex analysis. As applications, we derive some results about <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-estimate for <em>d</em>-equation and prove some curvature positivity related to convex analysis from well known <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-estimate for <span><math><mover><mrow><mo>∂</mo></mrow><mrow><mo>¯</mo></mrow></mover></math></span>-equation or the results we prove in complex analysis.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 2","pages":"Article 110917"},"PeriodicalIF":1.7000,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A bridge connecting convex analysis and complex analysis and L2-estimate of d and ∂¯\",\"authors\":\"Fusheng Deng , Jinjin Hu , Weiwen Jiang , Xiangsen Qin\",\"doi\":\"10.1016/j.jfa.2025.110917\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We propose a way to connect complex analysis and convex analysis. As applications, we derive some results about <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-estimate for <em>d</em>-equation and prove some curvature positivity related to convex analysis from well known <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-estimate for <span><math><mover><mrow><mo>∂</mo></mrow><mrow><mo>¯</mo></mrow></mover></math></span>-equation or the results we prove in complex analysis.</div></div>\",\"PeriodicalId\":15750,\"journal\":{\"name\":\"Journal of Functional Analysis\",\"volume\":\"289 2\",\"pages\":\"Article 110917\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2025-03-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Functional Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022123625000990\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Functional Analysis","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022123625000990","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
A bridge connecting convex analysis and complex analysis and L2-estimate of d and ∂¯
We propose a way to connect complex analysis and convex analysis. As applications, we derive some results about -estimate for d-equation and prove some curvature positivity related to convex analysis from well known -estimate for -equation or the results we prove in complex analysis.
期刊介绍:
The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published.
Research Areas Include:
• Significant applications of functional analysis, including those to other areas of mathematics
• New developments in functional analysis
• Contributions to important problems in and challenges to functional analysis