Approximation in weighted Smirnov-Orlicz classes

Approximation and Moduli of Fractional Orders in Smirnov-orlicz Classes

In this work we investigate the approximation problems in the Smirnov-Orlicz spaces in terms of the fractional modulus of smoothness. We prove the direct and inverse theorems in these spaces and obtain a constructive descriptions of the Lipschitz classes of functions defined by the fractional order modulus of smoothness, in particular. 1. Preliminaries and introduction A function M (u) : R → R ...

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.

Analytic Functions in Smirnov Classes E with Real Boundary Values

Smirnov domains with non-smooth boundaries do admit non-trivial functions of Smirnov class with real boundary values. We will show that the existance of functions in Smirnov classes with real boundary values is directly dependent on the boundary characteristics of a Smirnov domain. Mathematics Subject Classification (2000). 30H10, 30H15.

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...