{"title":"Ap weights and an application to Hankel operators on Fock spaces with variable exponents on Cn","authors":"Agbor Dieudonne Agbor, Forwa Kingsley Njem","doi":"10.1016/j.jmaa.2024.128899","DOIUrl":null,"url":null,"abstract":"<div><div>We characterize <span><math><msub><mrow><mi>A</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span> weights for <span><math><mi>p</mi><mo>></mo><mn>1</mn></math></span> and via extrapolation we characterize boundedness and compactness of Hankel operators between Fock spaces of variable exponent and the Lebesgue spaces of variable exponents. We also give some characterizations of the symbol class which is some <em>BMO</em>-type spaces with variable exponent on the complex plane <span><math><msup><mrow><mi>C</mi></mrow><mrow><mi>n</mi></mrow></msup></math></span>.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"543 2","pages":"Article 128899"},"PeriodicalIF":1.2000,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X24008217","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We characterize weights for and via extrapolation we characterize boundedness and compactness of Hankel operators between Fock spaces of variable exponent and the Lebesgue spaces of variable exponents. We also give some characterizations of the symbol class which is some BMO-type spaces with variable exponent on the complex plane .
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The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.
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