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In this paper, we consider the boundedness of fractional type multilinearcommutators generated by fractional integral with rough variable kernel andlocal Campanato functions on both generalized local (central) Morrey spaces andgeneralized vanishing local Morrey spaces, under generic size conditions whichare satisfied by most of the operators in harmonic analysis, respectively.

Fractional type multilinear commutators generated by fractional integral  with rough variable kernel and local Campanato functions on generalized  vanishing local Morrey spaces