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- Title
Multilinear Commutators of Singular Integral Operators in Variable Exponent Herz-Type Spaces.
- Authors
Wang, Liwei; Shu, Lisheng
- Abstract
In this paper, we study the boundedness of multilinear commutators of Hardy–Littlewood maximal operators in variable exponent Herz and Herz–Morrey spaces, which in turn are used to obtain the boundedness for a large class of the multilinear commutators related to sublinear operators. Moreover, based on the atomic decomposition and on generalization of the BMO norm, we study the boundedness of multilinear commutators of singular integral operators with Calderón–Zygmund kernels in variable exponent Herz-type Hardy spaces.
- Subjects
INTEGRAL operators; SINGULAR integrals; COMMUTATION (Electricity); HARDY spaces; CALDERON-Zygmund operator; EXPONENTS
- Publication
Bulletin of the Malaysian Mathematical Sciences Society, 2019, Vol 42, Issue 4, p1413
- ISSN
0126-6705
- Publication type
Article
- DOI
10.1007/s40840-017-0554-0