{"title":"复空间上算子的Rellich引理、poincar<s:1>不等式和Friedrichs推广","authors":"C. Tung, P. D. Lamberti","doi":"10.4067/s0719-06462021000200265","DOIUrl":null,"url":null,"abstract":"This paper is mainly concerned with: (i) a generalization of the Rellich’s Lemma to a Riemann subdomain of a complex space, (ii) the Poincare inequality, and (iii) Friedrichs extension of a Schrodinger type operator. Applications to the eigenfunction expansion problem associated to the modified Laplacian are also given.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Rellich's Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spaces\",\"authors\":\"C. Tung, P. D. Lamberti\",\"doi\":\"10.4067/s0719-06462021000200265\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is mainly concerned with: (i) a generalization of the Rellich’s Lemma to a Riemann subdomain of a complex space, (ii) the Poincare inequality, and (iii) Friedrichs extension of a Schrodinger type operator. Applications to the eigenfunction expansion problem associated to the modified Laplacian are also given.\",\"PeriodicalId\":36416,\"journal\":{\"name\":\"Cubo\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2021-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Cubo\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4067/s0719-06462021000200265\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cubo","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4067/s0719-06462021000200265","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
On Rellich's Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spaces
This paper is mainly concerned with: (i) a generalization of the Rellich’s Lemma to a Riemann subdomain of a complex space, (ii) the Poincare inequality, and (iii) Friedrichs extension of a Schrodinger type operator. Applications to the eigenfunction expansion problem associated to the modified Laplacian are also given.
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