Schatten Class Hankel Operators on Large Bergman spaces

2021/06/10 by Πέτρος Γαλανόπουλος, Galanopoulos, Petros
Mathematics · #Holomorphic and Operator Theory #Algebraic and Geometric Analysis #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.2106.05898

Abstract

We characterize the membership of Hankel operators with general symbols in the Schatten Classes S^p, p∈(0,1), of the large Bergman spaces A²_ω. The case p≥ 1 was proved by Lin and Rochberg.

Related

• Schatten Class Hankel Operators on Weighted Bergman Spaces induced by regular weights
• Schatten class Toeplitz operators acting on large weighted Bergman\n spaces
• Hankel operators on vector-valued Bergman spaces with exponential weights
• Schatten class Hankel operators on the Segal-Bargmann space and the Berger-Coburn phenomenon
• Big Hankel operators on vector-valued Fock spaces in \C^d