Today, the regular institute seminar was held. At the seminar the candidate for a degree of “Mathematical Analysis” department Sabir Hasanov made a report on “Fractional maximum function and its commutator in Orlicz space”.

The talk is deal with necessary and sufficient conditions for boundedness of fractional maximum operator and its commutator in Orlicz space. As application of these results, when M_b,_α fractional maximum commutator and [b, M_α] nonlinear fractional maximum commutator is from b Lipschits space, criteria for boundedness in Orlicz space and some new characteristics of Lipschits space were given. At the end the questions about the theme were answered.

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