Nguyen Minh Chuong, Dao Van Duong, Nguyen Duc Duyet, “Weighted estimates for commutators of Hausdorff operators on the Heisenberg group”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, Number 2,Pages <nobr>39

This article is cited in 5 papers

Weighted estimates for commutators of Hausdorff operators on the Heisenberg group

Nguyen Minh Chuong^a, Dao Van Duong^b, Nguyen Duc Duyet^c

^a Institute of mathematics, Vietnamese Academy of Science and Technology, Hanoi, Vietnam
^b School of Mathematics, Mientrung University of Civil Engineering, Phu Yen, Vietnam
^c FPT University, Hoa Lac High Tech Park, Hanoi, Vietnam

Abstract: The aim of this paper is to give some sufficient conditions for the boundedness of commutators of Hausdorff operators with symbols in weighted central BMO type spaces on the Herz spaces, central Morrey spaces and Morrey–Herz spaces associated with both power weights and Muckenhoupt weights on the Heisenberg group.

Keywords: commutator, Hausdorff operator, Morrey–Herz space, central BMO space, $A_p$ weight, Heisenberg group.

UDC: 517.98

Received: 19.02.2019
Revised: 01.05.2019
Accepted: 19.06.2019

DOI: 10.26907/0021-3446-2020-2-39-62