{"title":"一类伪微分算子的符号演算及其在紧性上的应用。","authors":"Árpád Bényi, Tadahiro Oh, Rodolfo H Torres","doi":"10.1007/s12220-025-02128-8","DOIUrl":null,"url":null,"abstract":"<p><p>We prove a symbolic calculus for a class of pseudodifferential operators, and discuss its applications to <math><msup><mi>L</mi> <mn>2</mn></msup> </math> -compactness via a compact version of the <i>T</i>(1) theorem.</p>","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"35 10","pages":"301"},"PeriodicalIF":1.5000,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12325449/pdf/","citationCount":"0","resultStr":"{\"title\":\"Symbolic Calculus for a Class of Pseudodifferential Operators with Applications to Compactness.\",\"authors\":\"Árpád Bényi, Tadahiro Oh, Rodolfo H Torres\",\"doi\":\"10.1007/s12220-025-02128-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>We prove a symbolic calculus for a class of pseudodifferential operators, and discuss its applications to <math><msup><mi>L</mi> <mn>2</mn></msup> </math> -compactness via a compact version of the <i>T</i>(1) theorem.</p>\",\"PeriodicalId\":56121,\"journal\":{\"name\":\"Journal of Geometric Analysis\",\"volume\":\"35 10\",\"pages\":\"301\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2025-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12325449/pdf/\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Geometric Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s12220-025-02128-8\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2025/8/5 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Geometric Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12220-025-02128-8","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/8/5 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Symbolic Calculus for a Class of Pseudodifferential Operators with Applications to Compactness.
We prove a symbolic calculus for a class of pseudodifferential operators, and discuss its applications to -compactness via a compact version of the T(1) theorem.
期刊介绍:
JGA publishes both research and high-level expository papers in geometric analysis and its applications. There are no restrictions on page length.