Generalized fractional maximal operators and vector-valued inequalities on generalized Orlicz–Morrey spaces

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• 作者：Denny Ivanal Hakim ; Eiichi Nakai ; Yoshihiro Sawano
• 关键词：Generalized fractional maximal operators ; Generalized Orlicz–Morrey spaces ; Hardy–Littlewood maximal operator ; Singular integral operators ; Vector ; valued inequalities ; 42B35 ; 42B25
• 刊名：Revista Matem¨¢tica Complutense
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：29
• 期：1
• 页码：59-90
• 全文大小：651 KB
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• 作者单位：Denny Ivanal Hakim (1)
  Eiichi Nakai (2)
  Yoshihiro Sawano (1)
  
  1. Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji, Tokyo, 192-0397, Japan
  2. Department of Mathematics, Ibaraki University, Mito, Ibaraki, 310-8512, Japan
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Algebra
  Applications of Mathematics
  Geometry
  Mathematics
  Topology
  
• 出版者：Springer Milan
• ISSN：1988-2807

文摘

In the present paper, we shall give a necessary and sufficient condition for the weak/strong boundedness of generalized fractional maximal operators on generalized Orlicz–Morrey spaces. We also give necessary and sufficient conditions for the vector-valued inequalities of the Hardy–Littlewood maximal operator, generalized fractional maximal operators and singular integral operators on these function spaces. Keywords Generalized fractional maximal operators Generalized Orlicz–Morrey spaces Hardy–Littlewood maximal operator Singular integral operators Vector-valued inequalities