Abstract
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 spaces are also given.
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Chuong, N.M., Duong, D.V. Weighted Hardy-Littlewood operators and commutators on p-adic functional spaces. P-Adic Num Ultrametr Anal Appl 5, 65–82 (2013). https://doi.org/10.1134/S2070046613010044
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DOI: https://doi.org/10.1134/S2070046613010044