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Abstract
Abstract In this paper, we study the equivalent conditions for the boundedness of the commutators generated by the multilinear maximal function and the bounded mean oscillation (BMO) function on Morrey space. Moreover, the endpoint estimate for such operators on generalized Morrey spaces is also given.
Highlights
The commutator [b, M]( f )(x), which is generated by the maximal function and the bounded mean oscillation (BMO) function, can be stated as follows:
In 2015, Zhang [12] studied the commutator generated by m the BMO function and the multilinear maximal functions [b, ]( f )(x) and →b ( f )(x) as follows:
It is natural to ask whether we can prove the endpoint estimates of the commutators generated by the multilinear maximal functions and BMO functions on Morrey-type space
Summary
The commutator [b, M]( f )(x), which is generated by the maximal function and the BMO function, can be stated as follows: The weak Morrey space WLp,λ( n) can be stated as follows: WL p,λ( In order to give the characterization of A→P , Lerner et al [10] introduced the following multilinear maximal function ( f )(x) defined as where f = ( f1,..., fm) with m ∈ Obviously, it is easy to see
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