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Characterizations of Lipschitz functions via the commutators of maximal function in total Morrey spacesWe give necessary and sufficient conditions for the boundedness of the maximal commutators (Formula

Fractional maximal function and its commutators on Orlicz spaces of fractional maximal commutator M b , α and nonlinear commutator of fractional maximal operator [ b, M α

Anisotropic fractional maximal commutators with BMO functions on anisotropic Morrey-type spaces of anisotropic fractional maximal commutator Mb,αd on anisotropic local Morrey-type spaces, when b belongs to BMO

Commutators of fractional maximal operator in variable Lebesgue spaces over bounded quasi-metric measure spacesWe study the fractional maximal commutators (Formula presented.) and the commutators (Formula

Commutators of the fractional maximal function in generalized Morrey spaces on Carnot groups of the fractional maximal commutator operator (Formula presented.), (Formula presented.) on the Carnot group

Fractional weighted spherical mean and maximal inequality for the weighted spherical mean and its application to singular PDEIn this paper we establish a mean value property for the functions which is satisfied to Laplace

Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz–Morrey spaces of the third kind operators Iρ and the generalized fractional maximal operators Mρ on Orlicz spaces, respectively. Moreover

Characterizations for the fractional maximal commutator operator in generalized Morrey spaces on Carnot group-Guliyev and Adams-Gunawan type boundedness characterization of the fractional maximal operator M α in generalized

FRACTIONAL WEIGHTED SPHERICAL MEAN AND MAXIMAL INEQUALITY FOR THE WEIGHTED SPHERICAL MEAN AND ITS APPLICATION TO SINGULAR PDE we design a fractional weighted mean operator, study its boundedness, obtain maximal inequality

Some Characterizations of BMO Spaces via Commutators in Orlicz Spaces on Stratified Lie GroupsIn the paper we study the fractional maximal commutators Mb,α and the commutators of the fractional

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