{"title":"THE BEST MATCHING PARAMETERS AND NORM CALCULATION OF BOUNDED OPERATORS WITH SUPER-HOMOGENEOUS KERNEL","authors":"Qian Zhao, Yong Hong, Bing He","doi":"10.11948/20230165","DOIUrl":null,"url":null,"abstract":"The concept of super-homogeneous function is introduced, sufficient and necessary condition for best matching parameters of bounded operator with super-homogeneous kernel is discussed, the norm formula for mutual mapping operators between weighted Lebesgue function space and weighted normed sequence space is obtained, and some special cases are given.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"25 1","pages":"0"},"PeriodicalIF":1.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Analysis and Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.11948/20230165","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
The concept of super-homogeneous function is introduced, sufficient and necessary condition for best matching parameters of bounded operator with super-homogeneous kernel is discussed, the norm formula for mutual mapping operators between weighted Lebesgue function space and weighted normed sequence space is obtained, and some special cases are given.
期刊介绍：
The Journal of Applied Analysis and Computation (JAAC) is aimed to publish original research papers and survey articles on the theory, scientific computation and application of nonlinear analysis, differential equations and dynamical systems including interdisciplinary research topics on dynamics of mathematical models arising from major areas of science and engineering. The journal is published quarterly in February, April, June, August, October and December by Shanghai Normal University and Wilmington Scientific Publisher, and issued by Shanghai Normal University.
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