{"title":"紧李群上全局算子的Besov连续性:p=q=∞的临界情况。","authors":"Duván Cardona","doi":"10.1016/j.trmi.2018.08.001","DOIUrl":null,"url":null,"abstract":"<div><p>In this note, we study the mapping properties of global pseudo-differential operators with symbols in Ruzhansky–Turunen classes on Besov spaces <span><math><msubsup><mrow><mi>B</mi></mrow><mrow><mi>∞</mi><mo>,</mo><mi>∞</mi></mrow><mrow><mi>s</mi></mrow></msubsup><mrow><mo>(</mo><mi>G</mi><mo>)</mo></mrow><mo>.</mo></math></span> The considered classes satisfy Fefferman type conditions of limited regularity.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"172 3","pages":"Pages 354-360"},"PeriodicalIF":0.3000,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2018.08.001","citationCount":"0","resultStr":"{\"title\":\"Besov continuity for global operators on compact Lie groups: The critical case p=q=∞.\",\"authors\":\"Duván Cardona\",\"doi\":\"10.1016/j.trmi.2018.08.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this note, we study the mapping properties of global pseudo-differential operators with symbols in Ruzhansky–Turunen classes on Besov spaces <span><math><msubsup><mrow><mi>B</mi></mrow><mrow><mi>∞</mi><mo>,</mo><mi>∞</mi></mrow><mrow><mi>s</mi></mrow></msubsup><mrow><mo>(</mo><mi>G</mi><mo>)</mo></mrow><mo>.</mo></math></span> The considered classes satisfy Fefferman type conditions of limited regularity.</p></div>\",\"PeriodicalId\":43623,\"journal\":{\"name\":\"Transactions of A Razmadze Mathematical Institute\",\"volume\":\"172 3\",\"pages\":\"Pages 354-360\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2018-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.trmi.2018.08.001\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transactions of A Razmadze Mathematical Institute\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2346809218300552\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions of A Razmadze Mathematical Institute","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2346809218300552","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Besov continuity for global operators on compact Lie groups: The critical case p=q=∞.
In this note, we study the mapping properties of global pseudo-differential operators with symbols in Ruzhansky–Turunen classes on Besov spaces The considered classes satisfy Fefferman type conditions of limited regularity.
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