JournalszaaVol. 35, No. 4pp. 489–504

Bounds for the Weighted Hardy-Cesàro Operator and its Commutator on Morrey-Herz Type Spaces

  • Nguyen Minh Chuong

    Vietnam Academy of Science and Technology, Hanoi, Vietnam
  • Dao Van Duong

    Central University of Construction, Phu Yen, Vietnam
  • Ha Duy Hung

    Ton Duc Thang University, Ho Chi Minh City, Vietnam
Bounds for the Weighted Hardy-Cesàro Operator and its Commutator on Morrey-Herz Type Spaces cover

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Abstract

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 [15], Fu et al. [9] and Tang et al. [20].

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. 489–504

DOI 10.4171/ZAA/1575