Weighted multilinearp-adic Hardy operators and commutators

Ronghui Liu, and Jiang Zhou. "Weighted multilinearp-adic Hardy operators and commutators." Open Mathematics 15.1 (2017): 1623-1634. <http://eudml.org/doc/288319>.

@article{RonghuiLiu2017,
abstract = {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.},
author = {Ronghui Liu, Jiang Zhou},
journal = {Open Mathematics},
keywords = {p-adic fields; Hardy operators; Weighted multilinear operators; Sharp bounds; Central Morrey spaces; Commutators},
language = {eng},
number = {1},
pages = {1623-1634},
title = {Weighted multilinearp-adic Hardy operators and commutators},
url = {http://eudml.org/doc/288319},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Ronghui Liu
AU - Jiang Zhou
TI - Weighted multilinearp-adic Hardy operators and commutators
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1623
EP - 1634
AB - 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.
LA - eng
KW - p-adic fields; Hardy operators; Weighted multilinear operators; Sharp bounds; Central Morrey spaces; Commutators
UR - http://eudml.org/doc/288319
ER -