Bounds for the Weighted Hardy-Cesàro Operator and its Commutator on Morrey-Herz Type Spaces
Nguyen Minh ChuongVietnam Academy of Science and Technology, Hanoi, Vietnam
Dao Van DuongCentral University of Construction, Phu Yen, Vietnam
Ha Duy HungTon Duc Thang University, Ho Chi Minh City, Vietnam
In this paper we will prove the boundedness of weighted Hardy-Cesàro operator on Herz and Morrey-Herz spaces with absolutely homogeneous weights. The corresponding operator norms are obtained. We also prove the boundedness of the commutators of Hardy-Cesàro operator on weighted spaces of Morrey-Herz type, with their symbols belong to Lipschitz space. By these we extend and strengthen previous results due to Kuang , Fu et al.  and Tang et al. .
Cite this article
Nguyen Minh Chuong, Dao Van Duong, Ha Duy Hung, Bounds for the Weighted Hardy-Cesàro Operator and its Commutator on Morrey-Herz Type Spaces. Z. Anal. Anwend. 35 (2016), no. 4, pp. 489–504DOI 10.4171/ZAA/1575