Big Hankel Operators on Vector-Valued Fock Spaces in C d

We study big Hankel operators acting on vector-valued Fock spaces with radial weights in Cd. We provide complete characterizations for the boundedness, compactness and Schatten class membership of such operators.

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Bibliographic Details
Published in:Integral equations and operator theory 2018-01, Vol.90 (1), p.1-25
Main Authors: Bommier-Hato, Hélène, Constantin, Olivia
Format: Article
Language:English
Subjects:
Operators
Online Access:Get full text
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Description
Summary:We study big Hankel operators acting on vector-valued Fock spaces with radial weights in Cd. We provide complete characterizations for the boundedness, compactness and Schatten class membership of such operators.
ISSN:0378-620X
1420-8989
DOI:10.1007/s00020-018-2433-y