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A characterization for fractional integral and its commutators in Orlicz and generalized Orlicz–Morrey spaces on spaces of homogeneous type in generalized Orlicz–Morrey spaces on the spaces of homogeneous type. As an application of this boundedness, we
Characterization of the boundedness of fractional maximal operator and its commutators in Orlicz and generalized Orlicz–Morrey spaces on spaces of homogeneous type Orlicz–Morrey spaces MΦ,φ(X) on spaces of homogeneous type X= (X, d, μ) in the sense of Coifman
Generalized fractional integral operators on Orlicz–Hardy spacesThe generalized fractional integral operators are shown to be bounded from an Orlicz–Hardy space
ON MODULAR INEQUALITIES FOR GENERALIZED HARDY OPERATORS ON WEIGHTED ORLICZ SPACES potentials, in which case Orlicz-Lorentz space serves as an underlying space.
Estimates for restrictions of monotone operators on the cone of decreasing functions in Orlicz space weighted Orlicz space Lφ,v without additional a priori assumptions on the properties of theOrlicz function
Orlicz-fractional maximal operators on weighted Lp spaces are given in the scale of Orlicz spaces for the fractional Orlicz maximal operators which generalizes
INEQUALITIES FOR OPERATORS ON THE CONE OF DECREASING FUNCTIONS IN WEIGHTED ORLICZ SPACE of nonnegative decreasing functions in the weighted Orlicz space. The reduction theorems are presented
Riesz potential and its commutators on generalized weighted Orlicz–Morrey spaces potential and its commutators on the generalized weighted Orlicz–Morrey spaces. We also give a
Commutators of fractional maximal operator on generalized Orlicz–Morrey spaces type boundedness of the commutators of fractional maximal operator on generalized Orlicz–Morrey spaces
The Lower Semicontinuity of Distortion Coefficients of the Homeomorphisms Inducing Bounded Composition Operators of Sobolev–Orlicz Spaces composition operators of Sobolev–Orlicz spaces also generates an operator of this kind. We estimate
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