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Fractional multilinear integrals with rough kernels on generalized weighted Morrey spaces

Fractional multilinear integrals with rough kernels on generalized weighted Morrey spaces

Abstract In this paper, we study the boundedness of fractional multilinear integral operators with rough kernels <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msubsup> <m:mi>T</m:mi> <m:mrow> <m:mi>Ω</m:mi> <m:mo>,</m:mo> <m:mi>α</m:mi> </m:mrow> <m:mrow> <m:mrow> <m:msub> <m:mi>A</m:mi> <m:mn>1</m:mn> </m:msub> </m:mrow> <m:mo>,</m:mo> <m:mrow> <m:msub> <m:mi>A</m:mi> <m:mn>2</m:mn> </m:msub> </m:mrow> <m:mo>,</m:mo> <m:mo>…</m:mo> <m:mo>,</m:mo> <m:mrow> <m:msub> <m:mi>A</m:mi> <m:mi>k</m:mi> </m:msub> </m:mrow> </m:mrow> </m:msubsup> …