Weekly seminar on 28.09.2016 at 10.00 at the Institute seminar, associated professor Rza Ch. Mustafayev gave a talk on “Weak-type estimates in Morrey spaces for maximal commutator and commutator of maximal function”.

In this report we was discussed the unboundedness of the Hardy-Littlewood maximal operator M on Zygmund-Morrey space ML(logL), λ(ℜn), 0 < λ< n , as well as the boundedness of M on ML(logL),λ(ℜn) for radially decreasing functions and the boundedness of the iterated maximal operator M2 from ML(logL), λ (ℜn) to weak Zygmund-Morrey space WML(logL),λ (ℜn) . The class of functions for which the maximal commutator Cb is bounded from ML(logL),λ(ℜn) to WML(logL),λ (ℜn) is characterized. It is proved that the commutator of the Hardy-Littlewood maximal operator M with function b ∈ BMO (ℜn) such that b-∈L∞(ℜn) is bounded from ML(logL), λ(ℜn) to WML(logL),λ (ℜn) .

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