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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 and $$H bar{varphi}$$ in the Schatten-von Neumann p-class $${mathcal{S}}_{p}$$ 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 $$H bar{varphi}$$ with φ holomorphic.
Keywords:  KeywordHeading"  >Mathematics Subject Classification (2000). Primary 47B35  Secondary 47B38
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