{"title":"SCHRÖDINGER PROPAGATOR ON WIENER AMALGAM SPACES IN THE FULL RANGE","authors":"GUOPING ZHAO, WEICHAO GUO","doi":"10.1017/nmj.2024.14","DOIUrl":null,"url":null,"abstract":"Using the technique of Gabor analysis, we characterize the boundedness of <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S002776302400014X_inline1.png\"/> <jats:tex-math> $e^{i\\Delta }: W^{p_1,q_1}_m\\rightarrow W^{p_2,q_2}$ </jats:tex-math> </jats:alternatives> </jats:inline-formula> with modulation and translation operators, where <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S002776302400014X_inline2.png\"/> and <jats:italic>m</jats:italic> is a <jats:italic>v</jats:italic>-moderate weight. The sharp exponents for the boundedness are also characterized in the case of power weight.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1017/nmj.2024.14","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Using the technique of Gabor analysis, we characterize the boundedness of $e^{i\Delta }: W^{p_1,q_1}_m\rightarrow W^{p_2,q_2}$ with modulation and translation operators, where and m is a v-moderate weight. The sharp exponents for the boundedness are also characterized in the case of power weight.
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