Abstract
We introduce the p-adic weighted multilinear Hardy-Cesàro operator. We also obtain the necessary and sufficient conditions on weight functions to ensure the boundedness of that operator on the product of Lebesgue spaces, Morrey spaces, and central bounded mean oscillation spaces. In each case, we obtain the corresponding operator norms. We also characterize the good weights for the boundedness of the commutator of weighted multilinear Hardy-Cesàro operator on the product of central Morrey spaces with symbols in central bounded mean oscillation spaces.
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This work was supported by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) (Grant No. 101.02-2016.22).
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Chuong, N.M., Hong, N.T. & Hung, H.D. Bounds of weighted multilinear Hardy-Cesàro operators in p-adic functional spaces. Front. Math. China 13, 1–24 (2018). https://doi.org/10.1007/s11464-017-0677-5
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DOI: https://doi.org/10.1007/s11464-017-0677-5