Compact Hankel operators on multiply connected domains
type: Item
instance of: scholarly article
title: Compact Hankel operators on multiply connected domains
zbMATH Open document ID: 0798.47017
DOI: 10.1016/0022-247X(92)90368-N
author: Huiping Li
published in: Journal of Mathematical Analysis and Applications
publication date: 1993-04-01T00:00:00Z
review text: The author shows that the compactness of Hankel operators acting on Bergman spaces of square-integrable functions, holomorphic on bounded, multiply connected domains, can be equivalently characterized in terms of the reproducing kernels of the space. Doing that he answers a question in [\textit{S. Axler}, Duke Math. J. 53, 315-332 (1986; Zbl 0633.47014)]. The author also extends a result obtained in the case of the unit disk in [\textit{K. Stroethoff}, Ill. J. Math. 34, No. 1, 159-174 (1990; Zbl 0687.47019)].
Mathematics Subject Classification ID: 47B35
zbMATH DE Number: 150717
zbMATH Keywords: compactness of Hankel operators
zbMATH Keywords: Bergman spaces of square-integrable functions
zbMATH Keywords: reproducing kernels
reviewed by: V. Matache
MaRDI profile type: Publication
cites work: The Bergman space, the Bloch space, and commutators of multiplication operators
cites work: Q5610508
cites work: Q5574105
cites work: Q4299836
cites work: Compact Hankel operators on the Bergman space
description: scientific article; zbMATH DE number 150717