Estimates for the Commutators of <i>p</i>-Adic Hausdorff Operator on Herz-Morrey Spaces

Abstract

In this paper, we investigate the boundedness of commutators of matrix Hausdorff operator on the weighted p-adic Herz-Morrey space with the symbol functions in weighted central bounded mean oscillations (BMO) and Lipschitz spaces. In addition, a result showing boundedness of Hausdorff operator on weighted p-adic λ -central BMO spaces is provided as well.

Keywords

• <i>p</i>-adic Hausdorff operator
• commutators
• <i>p</i>-adic Herz-Morrey spaces
• <i>p</i>-adic <i>λ</i>-central bounded mean oscillations (BMO) spaces