In this paper, we will establish the boundedness of the commutator generated by fractional integral operator and RBMO(μ) function on generalized Morrey space in the non-homogeneous space.
By decomposing functions, we establish estimates for higher order commutators generated by fractional integral with BMO functions or the Lipschitz functions on the homogeneous Herz spaces with variable exponent. These estimates extend some known results in the literatures.
In this paper, we discuss the multilinear commutator of θ -type Calderón-Zygmund operators, and obtain that this kind of multilinear commutators is bounded from L p (R n ) to L q (R n ), from L p (R n ) to Triebel-Lizorkin spaces and on certain Hardy type spaces.
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