In the present article, we come up with the boundedness of Hausdorff operator, defined by means of linear transformation A, on the weighted p-adic Morrey and weighted p-adic Herz type spaces. Also,...

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 $\lambda$ -central BMO spaces is provided as well.

This research investigates the boundedness of ap-adic fractional integral operator onp-adic Morrey–Herz spaces. In particular,p-adic central bounded mean oscillations $(C\dot{M}O)$(CM˙O) and Lipschitz estimate for commutators of thep-adic fractional integral operator are provided as well.

The present article investigates the weak boundedness of fractional p-adic Hardy operators and their adjoints on Lebesgue spaces. It also furnishes the corresponding operator norms for such operators on these spaces.

In the current paper, we obtain the boundedness of a rough p-adic fractional integral operator on p-adic central Morrey spaces. Moreover, we establish the $\lambda$-central bounded mean oscillations estimate for commutators of a rough p-adic fractional integral operator on p-adic central Morrey spaces.