{"title":"Weighted norm inequalities for the generalized multilinear Stieltjes transformation","authors":"Víctor García García, P. O. Salvador","doi":"10.7153/mia-2021-24-53","DOIUrl":null,"url":null,"abstract":". We characterize some weighted strong and weak-type inequalities for the generalized Stieltjes and Calder´on multilinear operators. As applications, we characterize a weighted multilinear Hilbert’s inequality and a weighted Hilbert’s multiple series theorem.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Inequalities & Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/mia-2021-24-53","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
. We characterize some weighted strong and weak-type inequalities for the generalized Stieltjes and Calder´on multilinear operators. As applications, we characterize a weighted multilinear Hilbert’s inequality and a weighted Hilbert’s multiple series theorem.
期刊介绍：
''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.
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