Geodesic
Characterization of Lipschitz Functions via the Commutators of Maximal Functions on Stratified Lie Groups
Journal of Lie theory, Tome 33 (2023) no. 4, pp. 1177-1192
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Our main aim is to consider the boundedness of the Hardy-Littlewood maximal commutator Mb and the nonlinear commutator [b, M] on the Lebesgue spaces and Morrey spaces over some stratified Lie group G when the symbols of the commutators belong to the Lipschitz space. Meanwhile, the corresponding end-point estimates on the Lebesgue spaces and Morrey spaces over some stratified Lie group G are considered as well. As a result, some new characterizations of the Lipschitz spaces on Lie group via Mb and [b, M] are given.
Classification : 42B35, 43A80, 43A15
Mots-clés : Stratified Lie group, maximal function, Lipschitz function, commutator, Morrey space 
@article{JLT_2023_33_4_JLT_2023_33_4_a9,
     author = {J. Wu and W. Zhao},
     title = {Characterization of {Lipschitz} {Functions} via the {Commutators} of {Maximal} {Functions} on {Stratified} {Lie} {Groups}},
     journal = {Journal of Lie theory},
     pages = {1177--1192},
     year = {2023},
     volume = {33},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2023_33_4_JLT_2023_33_4_a9/}
}
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J. Wu; W. Zhao. Characterization of Lipschitz Functions via the Commutators of Maximal Functions on Stratified Lie Groups. Journal of Lie theory, Tome 33 (2023) no. 4, pp. 1177-1192. http://geodesic.mathdoc.fr/item/JLT_2023_33_4_JLT_2023_33_4_a9/