In this paper we study the problem of the joint membership of Hφ and Hφ̄ in the Schatten-von Neumann p-class S<sub>p</sub> 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 Hφ̄ with φ holomorphic. © 2008 Birkhaueser.
Raimondo, R. (2008). Schatten-von Neumann Hankel Operators on the Bergman Space of Planar Domains. INTEGRAL EQUATIONS AND OPERATOR THEORY, 62, 219-232 [10.1007/s00020-008-1619-0].
Schatten-von Neumann Hankel Operators on the Bergman Space of Planar Domains
RAIMONDO, ROBERTO
2008
Abstract
In this paper we study the problem of the joint membership of Hφ and Hφ̄ in the Schatten-von Neumann p-class Sp 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 Hφ̄ with φ holomorphic. © 2008 Birkhaueser.
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