Work

Maximal Functions and Multipliers for Subkernels of Toeplitz Operators

Year: 2026

Type: article

Abstract: We study the relations between maximal functions in a Toeplitz kernel and those in a subkernel of the same Toeplitz operator, as well as the question of how multipliers between Toeplitz kernels act on subkernels. We use those relations to obtain model space representations, in particular isometric model space representations and Hayashi’s representation, for some important classes of Toeplitz kernels.

Source: Results in Mathematics

DOI: 10.1007/s00025-026-02647-y

Authors: M. Cristina Câmara, C. Carteiro, C. Diogo

Institutions: University of Lisbon, Instituto Superior Técnico, Iscte – Instituto Universitário de Lisboa

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Fundação para a Ciência e a Tecnologia