Essential norm and Schatten class of Hankel operators between weighted Fock spaces

2025/08/16 by Liu, Yi, Lu, Yufeng
#47B10 #47B35 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2508.11882

Abstract

In this paper, we characterize the essential norm of Hankel operators from a weighted Fock space F_φ^p to a weighted Lebesgue space L_φ^q for all 1 ≤ p, q < ∞. Additionally, we characterize the Schatten-h class membership for Hankel operators acting from F_φ² to L_φ², where the class is defined by a continuous increasing convex function h.

Citations

• Schatten class Hankel operators on doubling Fock spaces and the Berger-Coburn phenomenon
• Schatten class Hankel operators on the Segal-Bargmann space and the Berger-Coburn phenomenon

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