Geodesic
Weighted Boundedness for Commutators of Parameterized Littlewood--Paley Operators and Area Integrals
Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 183 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We establish the boundedness for commutators of parameterized Littlewood--Paley operators and area integrals on weighted Lebesgue spaces $L^p(\omega)$ when $1$, where the kernel satisfies certain logarithmic type Lipschitz condition. Moreover, the weighted endpoint estimates when $p=1$ are also obtained.
DOI : 10.2298/PIM1614183L
Classification : 42B20 42B25
Keywords: parameterized Littlewood-Paley operator, parameterized area integral, commutator, BMO 
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     author = {Yan Lin and Xiao Xuan},
     title = {Weighted {Boundedness} for {Commutators} of {Parameterized} {Littlewood--Paley} {Operators} and {Area} {Integrals}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {183 },
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     volume = {_N_S_100},
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     year = {2016},
     doi = {10.2298/PIM1614183L},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM1614183L/}
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Yan Lin; Xiao Xuan. Weighted Boundedness for Commutators of Parameterized Littlewood--Paley Operators and Area Integrals. Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 183 . doi : 10.2298/PIM1614183L. http://geodesic.mathdoc.fr/articles/10.2298/PIM1614183L/

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