Journal article
Schatten-von Neumann hankel operators on the bergman space of planar domains
RC Raimondo
Integral Equations and Operator Theory | SPRINGER BASEL AG | Published : 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.