On Galbis' integration lemmas

2023/10/04 by Yi C. Huang, Fei Xue, Huang, Yi C. +1
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Primary 47B35 #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2310.03050

openalex publication_date 2023/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We simplify in this note Galbis' proof of certain norm estimates for self-adjoint Toeplitz operators on the Fock space. This relies on an extension (and a unification) of his integration lemmas, yet with a simpler proof in the same spirit.

Related

• Norm bounds for self-adjoint Toeplitz operators with non-radial symbols on the Fock space
• Norm estimates for selfadjoint Toeplitz operators on the Fock space
• Toeplitz operators on the Fock space via the Fourier transform
• Berger-Coburn theorem, localized operators, and the Toeplitz algebra
• Toeplitz operators on large vector-valued Fock spaces