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Boundedness of rough singular integral operators and commutators on Morrey-Herz spaces with variable exponents
By decomposing functions, we establish some boundedness results for some rough singular integrals on the homogeneous Morrey-Herz spaces $M\dot{K}_{q, p(\cdot)}^{\alpha(\cdot),\lambda}({\Bbb{ R}}^{n})$ , where the two main indices are variable. The corresponding results as regards their commutators are also considered.