Composition operators on Hardy space in several complex variables
type: Item
instance of: scholarly article
title: Composition operators on Hardy space in several complex variables
zbMATH Open document ID: 0629.47027
DOI: 10.1016/0022-247X(85)90155-6
author: Bogdan D. Figura
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: Let B denote the unit disc of \({\mathbb{C}}^ n\) and let \(\omega\) be an analytic map with \(\omega\) (B)\(\subset B\). The equation \(C_{\omega}f=f\circ \omega\) defines a composition operator \(C_{\omega}\) on the Hardy space \(H^ 2(B)\). The author provides conditions for \(C_{\omega}\) to be invertible, compact, and of trace class [cf. also \textit{J. M. Shapiro}, Ann. Math., II. Ser. 125, 375-404 (1987)].
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 32A35
Mathematics Subject Classification ID: 46J15
zbMATH DE Number: 4024088
zbMATH Keywords: composition operator
zbMATH Keywords: Hardy space
zbMATH Keywords: trace class
reviewed by: Mario Milman
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4024088