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The aim of this paper is to get the boundedness of the commutators ofmulti-sublinear operators generated by local campanato functions andmultilinear Calder\'on-Zygmund operators on the product generalized localMorrey spaces.

Product generalized local Morrey spaces and commutators of  multi-sublinear operators generated by multilinear Calder\'on-Zygmund  operators and local Campanato functions