Kieu Huu Dung, Dao Van Duong, “Two-weight estimates for Hardy–Littlewood maximal functions and Hausdorff operators on <nobr>$p$</nobr>-adic Herz spaces”, Izv. RAN. Ser. Mat., 2023, Volume 87, Issue 5,Pages <nobr>71

Two-weight estimates for Hardy–Littlewood maximal functions and Hausdorff operators on $p$-adic Herz spaces

Kieu Huu Dung^a, Dao Van Duong^b

^a Faculty of Fundamental Sciences, Van Lang University, Ho Chi Minh City, Vietnam
^b School of Mathematics, Mientrung University of Civil Engineering, Phu Yen, Vietnam

Abstract: This paper is concerned with some sufficient conditions for the boundedness of Hardy–Littlewood maximal functions, rough Hausdorff and matrix Hausdorff operators on two-weighted Herz spaces on $p$-adic fields through its atomic decomposition.

Keywords: Hardy–Littlewood maximal operator, Hausdorff operator, Hardy operator, Herz space, atom, $p$-adic analysis.

UDC: 517.51

MSC: 42B25, 46E30, 42B35, 47B38

Received: 02.08.2022
Revised: 08.01.2023

Language: English

DOI: 10.4213/im9404