Approximation by matrix transforms in weighted Orlicz spaces

Best Simultaneous Approximation in Orlicz Spaces

Imbeddings between Weighted Orlicz–lorentz Spaces

We establish necessary and sufficient conditions for imbeddings of weighted Orlicz–Lorentz spaces.

Weighted Composition Operators on Orlicz Spaces

In this paper we study weighted composition operators on Orlicz spaces. Introduction : Let X and Y be two non empty sets and let F(X) and F(Y) be denoted the topological vector spaces of complex valued functions on X and Y respectively. If T : Y → X is a mapping such that f oT ∈ F (Y) whenever f ∈ F (X), then we can define a composition transformation C T : F (X) → F (Y) by C T f = f oT for eve...

Characterization of matrix operators on Orlicz spaces

We give equivalent conditions for tensor product of Orlicz sequence spaces, then we obtain a necessary and sufficient condition for a class of matrix operators acting on Orlicz sequence spaces to be continuous and compact.

Approximation in Weighted L Spaces

The Lipschitz classes Lip (α, p, w) , 0 < α ≤ 1 are defined for the weighted Lebesgue spaces L p w with Muckenhoupt weights, and the degree of approximation by matrix transforms of f ∈ Lip (α, p, w) is estimated by n −α .