Invariant subspace of composition operators on Hardy space
Tianyu Bai,
Junming Liu
Abstract:We consider the invariant subspace of composition operators on Hardy space H p where the composition operators corresponding to a function ϕ that is a holomorphic self-map of D. Firstly, we discuss composition operators Cϕ on subspace H p α,β of Hardy space H p . We will explore the invariant subspaces for Cϕ in various special cases. Secondly, we consider Beurling type invariant subspace for Cϕ. When θ is a inner function, we prove that θH p is invariant for Cϕ if and only if θ • ϕ θ belongs to S(D). Thirdly,… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.