Boundedness and compactness of a class of Hardy type operators

Journal of inequalities and applications

Akbota M Abylayeva¹ 

关键词: inequalities;    Hardy type inequalities;    fractional integral operator;    Riemann-Liouville operator;    Hadamard operator;    Erdelyi-Kober operator;    boundedness;    compactness;    26A33;    26D10;    47G10;   

DOI  :  10.1186/s13660-016-1266-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We establish characterizations of both boundedness and of compactness of a general class of fractional integral operators involving the Riemann-Liouville, Hadamard, and Erdelyi-Kober operators. In particular, these results imply new results in the theory of Hardy type inequalities. As applications both new and well-known results are pointed out.

【 授权许可】

CC BY