In this paper, the weighted multilinear p-adic Hardy operators are introduced, and their sharp bounds are obtained on the product of p-adic Lebesgue spaces, and the product of p-adic central Morrey spaces, the product of p-adic Morrey spaces, respectively. Moreover, we establish the boundedness of commutators of the weighted multilinear p-adic Hardy operators on the product of p-adic central Morrey spaces. However, it’s worth mentioning that these results are different from that on Euclidean spaces due to the special structure of the p-adic fields.
@article{bwmeta1.element.doi-10_1515_math-2017-0139,
author = {Ronghui Liu and Jiang Zhou},
title = {Weighted multilinearp-adic Hardy operators and commutators},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {1623-1634},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0139}
}
Ronghui Liu; Jiang Zhou. Weighted multilinearp-adic Hardy operators and commutators. Open Mathematics, Tome 15 (2017) pp. 1623-1634. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0139/