Essentially commuting block Toeplitz and Hankel operators

Release time:2026-03-09

Journal:Submitted

Abstract:We characterize when the commutator of a block Hankel operator and a block Toeplitz operator is zero or compact on the vector-valued Hardy space of the unit disk via properties of harmonic extensions of the symbols and Douglas algebras generated by the symbols. As an application, we give a new proof of the characterization of essentially commuting scalar Hankel and Toeplitz operators on the Hardy space [18].

Co-author:Caixing Gu, Meng Li, Pan Ma

Indexed by:Journal paper

Translation or Not:no