{"title":"各向异性高阶Sobolev空间的表征","authors":"N. Lam, Ali Maalaoui, A. Pinamonti","doi":"10.3233/ASY-181515","DOIUrl":null,"url":null,"abstract":"We establish two types of characterizations for high order anisotropic Sobolev spaces. In particular, we prove high order anisotropic versions of Bourgain-Brezis- Mironescu's formula and Nguyen's formula.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"35 1","pages":"239-260"},"PeriodicalIF":0.0000,"publicationDate":"2018-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Characterizations of anisotropic high order Sobolev spaces\",\"authors\":\"N. Lam, Ali Maalaoui, A. Pinamonti\",\"doi\":\"10.3233/ASY-181515\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We establish two types of characterizations for high order anisotropic Sobolev spaces. In particular, we prove high order anisotropic versions of Bourgain-Brezis- Mironescu's formula and Nguyen's formula.\",\"PeriodicalId\":8603,\"journal\":{\"name\":\"Asymptot. Anal.\",\"volume\":\"35 1\",\"pages\":\"239-260\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-05-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asymptot. Anal.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3233/ASY-181515\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asymptot. Anal.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3233/ASY-181515","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Characterizations of anisotropic high order Sobolev spaces
We establish two types of characterizations for high order anisotropic Sobolev spaces. In particular, we prove high order anisotropic versions of Bourgain-Brezis- Mironescu's formula and Nguyen's formula.
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