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Maximal and singular integral operators and their commutators on generalized weighted Morrey spaces with variable exponent

Maximal and singular integral operators and their commutators on generalized weighted Morrey spaces with variable exponent

We consider the generalized weighted Morrey spaces M p(•),ϕ ω (Ω) with variable exponent p(x) and a general function ϕ(x,r) defining the Morrey-type norm.In case of unbounded sets Ω ⊂ R n we prove the boundedness of the Hardy-Littlewood maximal operator and Calderón-Zygmund singular operators with standard kernel, in such …