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Characterization of Schatten class Hankel operators on weighted Bergman spaces
Pau, Jordi
Universitat de Barcelona
We completely characterize the simultaneous membership in the Schatten ideals $S_{p,} 0 < p < \infty$ of the Hankel operators $H_{f}$ and $H_{\overline{f}}$ on the Bergman space, in terms of the behavior of a local mean oscillation function, proving a conjecture of Kehe Zhu from 1991.
Teoria d'operadors
Operadors lineals
Funcions de variables complexes
Funcions de diverses variables complexes
Operator theory
Linear operators
Functions of complex variables
Functions of several complex variables
(c) Duke University Press, 2016
Duke University Press

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