Author:
Cui Yunan,Hudzik Henryk,Kumar Romesh,Maligranda Lech
Abstract
AbstractComposition operators Cτ between Orlicz spaces Lϕ (Ω, Σ, μ) generated by measurable and nonsingular transformations τ from Ω into itself are considered. We characterize boundedness and compactness of the composition operator between Orlicz spaces in terms of properties of the mapping τ, the function ϕ and the measure space (Ω, Σ, μ). These results generalize earlier results known for Lp-spaces.
Publisher
Cambridge University Press (CUP)
Reference29 articles.
1. Conditions for the imbedding of classes of sequences, and their consequences;Shragin;Mat. Zametki,1976
2. Convolutions of vector fields-II: random walk models
3. Orlicz Spaces and Modular Spaces
Cited by
33 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献