The p-adic weighted Hardy-Cesàro operators on weighted Morrey-Herz space

详细信息    查看全文

• 作者：N. M. Chuong ; D. V. Duong
• 刊名：P-Adic Numbers, Ultrametric Analysis, and Applications
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：8
• 期：3
• 页码：204-216
• 全文大小：694 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Algebra
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：2070-0474
• 卷排序：8

文摘

In this article we give necessary and sufficient conditions for the boundedness of the weighted Hardy-Cesà ro operators which is associated to the parameter curve γ(t, x) = γ(t)x defined by \({U_{\psi ,\gamma }}f\left( x \right) = \int {\left( {\gamma \left( t \right)x} \right)} \psi \left( t \right)dt\) on the weighted Morrey-Herz space over the p-adic field. Especially, the corresponding operator norms are established in each case. These results actually extend those of K. S. Rim and J. Lee [27] and of the authors [9]. Moreover, the sufficient conditions of boundedness of commutators of p-adic weighted Hardy-Cesàro operator with symbols in the Lipschitz space on the weighted Morrey-Herz space are also established.KeywordsWeighted Hardy-Cesàro operatorcommutatorweighted Morrey-Herz spacep-adic analysis