Model spaces and Toeplitz kernels in reflexive Hardy spaces

2015/07/21 by M. Cristina Câmara, Câmara, M. C., Teresa Malheiro +3 · 1 citation
Mathematics · #30H10 #47B35 #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1507.05797

openalex publication_date 2015/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper considers model spaces in an H_p setting. The existence of unbounded functions and the characterisation of maximal functions in a model space are studied, and decomposition results for Toeplitz kernels, in terms of model spaces, are established.

Cited by

• Maximal functions, conjugations and multipliers between Toeplitz kernels

Related

• Toeplitz kernels and model spaces
• Model spaces: a survey
• Univalent functions in model spaces: revisited
• Maximal functions, conjugations and multipliers between Toeplitz kernels
• Idempotent, model, and Toeplitz operators attaining their norms