Boundedness of homogeneous fractional integral operator on Morrey space

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• 作者：Siying Meng ; Yanping Chen
• 关键词：42B20 ; 42B25 ; 47B35 ; Morrey space ; Campanato space ; BMO space ; homogeneous fractional integral operator
• 刊名：Journal of Inequalities and Applications
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：2016
• 期：1
• 全文大小：1,407 KB
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• 作者单位：Siying Meng (1)
  Yanping Chen (1)
  
  1. Department of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, 100083, China
  
• 刊物主题：Analysis; Applications of Mathematics; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1029-242X

文摘

For \(0<\alpha<n\), the homogeneous fractional integral operator \(T_{\Omega,\alpha}\) is defined by $$T_{\Omega,\alpha}f(x)= \int_{{\Bbb {R}}^{n}}\frac{\Omega (x-y)}{\vert x-y\vert ^{n-\alpha}}f(y)\,dy. $$