Zero, finite rank, and compact big truncated Hankel operators on model spaces

Zero, finite rank, and compact big truncated Hankel operators on model spaces

In this paper, we obtain sufficient and necessary conditions for big truncated Hankel operators on model spaces to be zero, or of finite rank or compact. Our main tools are the properties of Hardy Hankel operators and function algebras.

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Veröffentlicht in:Proceedings of the American Mathematical Society 2018-12, Vol.146 (12), p.5235-5242
Hauptverfasser: MA, PAN, YAN, FUGANG, ZHENG, DECHAO
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we obtain sufficient and necessary conditions for big truncated Hankel operators on model spaces to be zero, or of finite rank or compact. Our main tools are the properties of Hardy Hankel operators and function algebras.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/14179