We study the boundedness of the Hausdorff operators \({\mathcal {H}}^p_{\Phi ,A}\) on the p-adic weighted Morrey–Herz spaces \({M\mathop {K}\limits ^.}^{\alpha (\cdot ),\lambda }_{\ell ,q(\cdot ),\omega }(\mathbb Q_p^n)\) , the p-adic weighted local central Morrey spaces \(\mathcal {B}^{q(\cdot ),\lambda }_{\omega ,\mathrm loc}(\mathbb Q_p^n)\) , and the p-adic weighted non-local central Morrey spaces \({\mathcal B}^{q(\cdot ),\lambda }_{\omega ,\mathrm non}(\mathbb Q_p^n)\) with both Muckenhoupt weights and power weights. In some cases, we establish the norm of the operators \({\mathcal {H}}^p_{\Phi ,A}\) .
