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The small Hankel operator in several complex variables

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Complex Analysis and Related Topics

Part of the book series: Operator Theory Advances and Applications ((OT,volume 114))

Abstract

A survey of known results and open problems concerning boundedness, compactness, and trace ideal membership of the small Hankel operator. The setting is either the Bergman or Hardy space over a bounded symmetric domain or a strongly pseudoconvex domain in several complex variables, with special attention to the unit polydisk and multivariable harmonic analysis.

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Authors and Affiliations

  1. University of California, Irvine, CA, 92697-3875, USA

    Bernard Russo

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  1. Bernard Russo
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Editors and Affiliations

  1. Department of Mathematics, CINVESTAV-IPN, Mexico City, Mexico

    Enrique Ramírez de Arellano  & Nikolai L. Vasilevski  & 

  2. Department of Mathematics, ESFM-IPN, Mexico City, Mexico

    Michael Shapiro  & Luis Manuel Tovar  & 

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Russo, B. (2000). The small Hankel operator in several complex variables. In: de Arellano, E.R., Vasilevski, N.L., Shapiro, M., Tovar, L.M. (eds) Complex Analysis and Related Topics. Operator Theory Advances and Applications, vol 114. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8698-7_16

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  • DOI: https://doi.org/10.1007/978-3-0348-8698-7_16

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9734-1

  • Online ISBN: 978-3-0348-8698-7

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