Author:
Wu Jianglong,Zhao Wenjiao
Abstract
AbstractIn this paper, the main aim is to consider the boundedness of the nonlinear commutator $[b, M_{\alpha}]$
[
b
,
M
α
]
and the maximal commutator $M_{\alpha ,b}$
M
α
,
b
on the Lebesgue spaces over some stratified Lie group $\mathbb{G}$
G
when the symbol b belongs to the Lipschitz space. As a result, some new characterizations of the Lipschitz spaces on Lie group via $[b, M_{\alpha}]$
[
b
,
M
α
]
and $M_{\alpha ,b}$
M
α
,
b
are given.
Funder
Science and Technology Fund of Heilongjiang
Reform and Development Foundation for Local Colleges and Universities of the Central Government
National Natural Science Foundation of China
Project of Scientific Research Team of Education Department of Heilongjiang
Scientific Research Fund of MNU
Scientific Research Fund of AHPU
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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