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Multilinear Commutators of Calderón-Zygmund Operator on Generalized Weighted Morrey Spaces
2014
Journal of Function Spaces
Preserved Fulltext
The boundedness of multilinear commutators of Calderón-Zygmund operatorTb→on generalized weighted Morrey spacesMp,φ(w)with the weight functionwbelonging to Muckenhoupt's classApis studied. When1<p<∞andb→=(b1,...,bm),bi∈BMO,i=1,...,m, the sufficient conditions on the pair(φ1,φ2)which ensure the boundedness of the operatorTb→fromMp,φ1(w)toMp,φ2(w)are found. In all cases the conditions for the boundedness ofTb→are given in terms of Zygmund-type integral inequalities on(φ1,φ2), which do not assume
doi:10.1155/2014/710542
fatcat:ohvt4hp4lfa75gfnvlfhcqok2e