Atomic Decompositions of Hardy Spaces with Variable Exponents and its Application to Bounded Linear Operators

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• 作者：Yoshihiro Sawano (1)
  
• 关键词：Primary 41A17 ; Secondary 42B25 ; 42B35 ; 26A33 ; Hardy spaces ; fractional integral operators ; atomic decomposition
• 刊名：Integral Equations and Operator Theory
• 出版年：2013
• 出版时间：September 2013
• 年：2013
• 卷：77
• 期：1
• 页码：123-148
• 全文大小：386KB
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• 作者单位：Yoshihiro Sawano (1)
  
  1. 1-1 Minami-Ohsawa, Hachioji, Tokyo, 192-0397, Japan
  

文摘

As applications of atomic decomposition results of Hardy spaces with variable exponents, we shall prove the boundedness of commutators and the fractional integral operators as well as the Hardy operators. There are many ways to prove such boundedness. For example, the boundedness of commutators can be proved by the sharp maximal inequalities. But here, we propose a different method based upon our atomic decomposition.