Multipliers and equivalences between Toeplitz kernels

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:465

Article

Cristina Camara, M.¹  Partington, Jonathan R.² 

[1] Univ Lisbon, Ctr Math Anal Geometry & Dynam Syst, Inst Super Tecn, Av Rovisco Pais, P-1049001 Lisbon, Portugal

[2] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England

关键词: Toeplitz kernel;    Model space;    Multiplier;    Carlcson measure;   

DOI  :  10.1016/j.jmaa.2018.05.023

来源: Elsevier

【 摘 要 】

Multipliers between kernels of Toeplitz operators are characterised in terms of test functions (so-called maximal vectors for the kernels); these maximal vectors may easily be parametrised in terms of inner and outer factorisations. Immediate applications to model spaces are derived. The case of surjective multipliers is also analysed. These ideas are applied to describing equivalences between two Toeplitz kernels. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free