Bounded symbols and one-component inner functions

Release time:2026-10-10

Journal:Submitted

Abstract:Let θ be a nonconstant inner function, we prove that every bounded truncated Toeplitz operator on the model space Kθ = H2 ⊖θH2 admits a bounded symbol if and only if θ is one-component, that is, if {z ∈ D : |θ(z)| < r} is nonempty and connected for some r ∈ (0,1).

Co-author:Pan Ma

Translation or Not:no