Geodesic
Norm inequalities of operators and commutators on generalized weighted morrey spaces
Hu, Yue1 ; Wang, Yueshan2
1 School of Mathematics and Information, Henan Polytechnic University, Jiaozuo 454003, P. R. China
2 Department of Mathematics, Jiaozuo University, Jiaozuo 454003, P. R. China
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 7, p. 3490-3501.

Voir la notice de l'article provenant de la source International Scientific Research Publications

We prove that, if a class of operators, which includes singular integral operator with rough kernel, Bochner-Riesz operator and Marcinkiewicz integral operator, are bounded on weighted Lebesgue spaces and satisfy some local pointwise control, then these operators and associated commutators, formed by a BMO function and these operators, are also bounded on generalized weighted Morrey spaces.
DOI : 10.22436/jnsa.010.07.12
Classification : 42B35, 47B38, 30H35
Keywords: Singular integral with rough kernel, Bochner-Riesz operator, Marcinkiewicz integral, commutator, weighted Morrey space.

Hu, Yue 1 ; Wang, Yueshan 2

1 School of Mathematics and Information, Henan Polytechnic University, Jiaozuo 454003, P. R. China
2 Department of Mathematics, Jiaozuo University, Jiaozuo 454003, P. R. China 
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Hu, Yue; Wang, Yueshan. Norm inequalities of operators and commutators on generalized weighted morrey spaces. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 7, p. 3490-3501. doi : 10.22436/jnsa.010.07.12. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.07.12/

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