Rational approximation in Orlicz spaces on Carleson curves

p-Carleson Measures for a Class of Hardy-Orlicz Spaces

An alternative interpretation of a family of weighted Carleson measures is used to characterize p-Carleson measures for a class of Hardy-Orlicz spaces admitting a nice weak factorization. As an application, we provide with a characterization of symbols of bounded weighted composition operators and Cesàro-type integral operators from these Hardy-Orlicz spaces to some classical holomorphic functi...

Best Simultaneous Approximation in Orlicz Spaces

Carleson Measure Theorems for Large Hardy-orlicz and Bergman-orlicz Spaces

We characterize those measures μ for which the Hardy-Orlicz (resp. weighted Bergman-Orlicz) space HΨ1 (resp. AΨ1 α ) of the unit ball of CN embeds boundedly or compactly into the Orlicz space LΨ2 ( BN ,μ ) (resp. LΨ2 (BN ,μ)), when the defining functions Ψ1 and Ψ2 are growth functions such that L1 ⊂ LΨ j for i, j ∈ {1,2}, and such that Ψ2/Ψ1 is non-decreasing. We apply our result to the charact...

Multivariate Moment Type Operators: Approximation Properties in Orlicz Spaces

In this papermodular convergence theorems inOrlicz spaces for multivariate extensions of the one-dimensional moment operator are given and the order of modular convergence in modular Lipschitz classes is studied.

Some Approximation Properties in Musielak-Orlicz-Sobolev Spaces

Some approximation theorems involving the modular convergence, which improve known density results of interest in the existence theory for strongly nonlinear boundary value problems are presented.