Sharp estimates for the p -adic Hardy type operators on higher-dimensional product spaces

Journal of inequalities and applications

Ronghui Liu¹ 

关键词: Hardy type operator;    sharp estimates;    p-adic;    product Lebesgue spaces;    42B20;    42B25;    42B35;   

DOI  :  10.1186/s13660-017-1491-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce the p-adic Hardy type operator and obtain its sharp bound on the p-adic Lebesgue product spaces. Meanwhile, an analogous result is computed for the p-adic Lebesgue product spaces with power weights. In addition, we characterize a sufficient and necessary condition which ensures that the weighted p-adic Hardy type operator is bounded on the p-adic Lebesgue product spaces. Furthermore, the p-adic weighted Hardy-Cesàro operator is also obtained.

【 授权许可】

CC BY