Schatten-von Neumann Hankel Operators on the Bergman Space of Planar Domains
Authors:
Roberto C. Raimondo
Affiliation:
(1) University of Melbourne, 3010, Parkville, Victoria, Australia;(2) Department of Statistics, Mathematics Group, Università degli Studi di Milano-Bicocca, Via Bicocca degli Arcimoboldi, 8, 20126 Milano, Italy
Abstract:
In this paper we study the problem of the joint membership of Hφ and in the Schatten-von Neumann p-class when φ ∈ L∞(Ω) and Ω is a planar domain. We use a result of K. Zhu and the localization near the boundary to solve the problem. Finally, we recover a result of Arazy, Fisher and Peetre on the case with φ holomorphic.