Big Hankel operators on vector-valued Fock spaces in \C^d

2017/12/02 by Hélène Bommier-Hato, Bommier-Hato, Helene, Olivia Constantin +1
Mathematics · #Advanced Harmonic Analysis Research #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1712.00668

openalex publication_date 2017/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study big Hankel operators acting on vector-valued Fock spaces with radial weights in \C^d. We provide complete characterizations for the boundedness, compactness and Schatten class membership of such operators.

Related

• Bounded, compact and Schatten class Hankel operators on Fock-type spaces
• Small Hankel operators on vector valued generalzed Fock spaces
• Hankel operators on the Fock-Sobolev spaces
• Toeplitz operators on large vector-valued Fock spaces
• Compact Hankel Operators with Bounded Symbols