Weighted Hardy-Littlewood operators and commutators on p-adic functional spaces

@article{Chuong2013WeightedHO,
  title={Weighted Hardy-Littlewood operators and commutators on p-adic functional spaces},
  author={Nguyen Minh Chuong and Dao Van Duong},
  journal={P-Adic Numbers, Ultrametric Analysis, and Applications},
  year={2013},
  volume={5},
  pages={65-82}
}
In this paper we give necessary and sufficient conditions for the boundedness of the weighted Hardy-Littlewood averages and the weighted Cesàro averages on p-adic Triebel-Lizorkin spaces and p-adic Morrey-Herz spaces. Especially, the corresponding operator norms in each case are established. Furthermore, sufficient conditions of the boundedness of the commutators of weighted Hardy-Littlewood operators, and weighted Cesàro operators with symbols in the Lipschitz spaces on p-adic Morrey-Herz… CONTINUE READING