Endpoint estimates for multilinear fractional integrals with non-doubling measures

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• 作者：Hai-bo Lin (1)
  Da-chun Yang (1)
  
• 关键词：multilinear fractional integral ; Morrey space ; weak ; Morrey space ; Lipschitz space ; non ; doubling measure ; 42B20 ; 42B25 ; 47B06 ; 47B38
• 刊名：Acta Mathematicae Applicatae Sinica, English Series
• 出版年：2014
• 出版时间：July 2014
• 年：2014
• 卷：30
• 期：3
• 页码：755-764
• 全文大小：249 KB
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• 作者单位：Hai-bo Lin (1)
  Da-chun Yang (1)
  
  1. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, China
  
• ISSN：1618-3932

文摘

Under the assumption that μ is a non-doubling measure on ?sup class="a-plus-plus"> d which only satisfies the polynomial growth condition, the authors obtain the boundedness of the multilinear fractional integrals on Morrey spaces, weak-Morrey spaces and Lipschitz spaces associated with μ, which, in the case when μ is the d-dimensional Lebesgue measure, also improve the known results.