Maximal Operator for the Higher Order Calderón Commutator
Canadian journal of mathematics, Tome 72 (2020) no. 5, pp. 1386-1422
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In this paper, we investigate the weighted multilinear boundedness properties of the maximal higher order Calderón commutator for the dimensions larger than two. We establish all weighted multilinear estimates on the product of the $L^{p}(\mathbb{R}^{d},w)$ space, including some peculiar endpoint estimates of the higher dimensional Calderón commutator.
Mots-clés :
Multilinear, Calderón commutator, maximal operator, weighted space
Lai, Xudong. Maximal Operator for the Higher Order Calderón Commutator. Canadian journal of mathematics, Tome 72 (2020) no. 5, pp. 1386-1422. doi: 10.4153/S0008414X19000476
@article{10_4153_S0008414X19000476,
author = {Lai, Xudong},
title = {Maximal {Operator} for the {Higher} {Order} {Calder\'on} {Commutator}},
journal = {Canadian journal of mathematics},
pages = {1386--1422},
year = {2020},
volume = {72},
number = {5},
doi = {10.4153/S0008414X19000476},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X19000476/}
}
TY - JOUR AU - Lai, Xudong TI - Maximal Operator for the Higher Order Calderón Commutator JO - Canadian journal of mathematics PY - 2020 SP - 1386 EP - 1422 VL - 72 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X19000476/ DO - 10.4153/S0008414X19000476 ID - 10_4153_S0008414X19000476 ER -
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