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Öğe Characterization of Parabolic Fractional Integral and Its Commutators in Parabolic Generalized Orlicz-Morrey Spaces(Inst Math & Mechanics Azerbaijan, 2019) Eroglu, A.; Abasova, G. A.; Guliyev, V. S.In this paper, we give necessary and sufficient condition for the Adams type boundedness of parabolic fractional integral and its commutators in parabolic generalized Orlicz-Morrey spaces.Öğe Characterizations for the Nonsingular Integral Operator and its Commutators on Generalized Orlicz-Morrey Spaces(Inst Math & Mechanics Azerbaijan, 2017) Eroglu, A.; Guliyev, V. S.; Omarova, M. N.We show continuity in generalized Orlicz-Morrey spaces M (Phi,phi) (R-+(n)) of nonsingular integral operators and its commutators with BMO functions. We shall give necessary and sufficient conditions for the boundedness of the nonsingular integral operator and its commutators on generalized Orlicz-Morrey spaces M Phi,phi (R-+(n)).Öğe PARABOLIC FRACTIONAL MAXIMAL COMMUTATORS WITH BMO FUNCTION ON ORLICZ SPACES(Inst Applied Mathematics, 2024) Guliyev, V. S.; Eroglu, A.; Eroglu, G. A.In the note, we give necessary and sufficient conditions for the boundedness of the parabolic fractional maximal commutators M-b,alpha(P) on Orlicz spaces L-Phi (R-n) when b belongs to BMO (R-n) spaces, by which some new characterizations for BMO(R-n) spaces is obtained.