{"title":"定义在非约简子簇上的全纯函数扩展的L p -估计","authors":"M. Andersson","doi":"10.5802/aif.3586","DOIUrl":null,"url":null,"abstract":"Let $D$ be a strictly pseudoconvex domain in $\\C^N$ and $X$ a pure-dimensional non-reduced subvariety that behaves well at $\\partial D$. We provide $L^p$-estimates of extensions of holomorphic functions defined on $X$.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"L p -estimates of extensions of holomorphic functions defined on a non-reduced subvariety\",\"authors\":\"M. Andersson\",\"doi\":\"10.5802/aif.3586\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let $D$ be a strictly pseudoconvex domain in $\\\\C^N$ and $X$ a pure-dimensional non-reduced subvariety that behaves well at $\\\\partial D$. We provide $L^p$-estimates of extensions of holomorphic functions defined on $X$.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2020-04-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.5802/aif.3586\",\"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/10.5802/aif.3586","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
L p -estimates of extensions of holomorphic functions defined on a non-reduced subvariety
Let $D$ be a strictly pseudoconvex domain in $\C^N$ and $X$ a pure-dimensional non-reduced subvariety that behaves well at $\partial D$. We provide $L^p$-estimates of extensions of holomorphic functions defined on $X$.
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