K. H. DungD. V. DuongN. D. Duyet2022-11-032022-11-032022https://repository.vlu.edu.vn/handle/123456789/79210.1007/s10476-022-0129-7The aim of this paper is to establish the boundedness of the Hausdorff operator in the Triebel-Lizorkin spaces and Herz spaces with absolutely homogeneous weights and the Muckenhoupt weights on p-adic field. Moreover, the corresponding operator norms are estimated. Some applications to the Hardy, Hilbert and weighted Hardy-Cesàro operators on p-adic field are also shown.en-USjournal-article