# Some estimates for p-adic rough multilinear Hausdorff operators and commutators on weighted Morrey-Herz type spaces

## TL;DR

This paper investigates the boundedness of a new class of p-adic rough multilinear Hausdorff operators and their commutators on various weighted Morrey-Herz type spaces, expanding understanding in p-adic harmonic analysis.

## Contribution

It introduces and analyzes the boundedness of p-adic rough multilinear Hausdorff operators and their commutators on weighted Morrey-Herz spaces, a novel extension in p-adic analysis.

## Key findings

- Boundedness established for p-adic rough multilinear Hausdorff operators.
- Boundedness results for commutators with symbols in central BMO space.
- Extension of operator theory to weighted Morrey-Herz spaces in p-adic setting.

## Abstract

The aim of this paper is to introduce and study the boundedness of a new class of p-adic rough multilinear Hausdorff operators on the product of Herz, central Morrey and Morrey-Herz spaces with power weights and Muckenhoupt weights. We also establish the boundedness for the commutators of p-adic rough multilinear Hausdorff operators on the weighted spaces with symbols in central BMO space.