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Contributions to Operator Theory and its Applications pp 249–263Cite as

The Smooth Mappings Which Preserve the Hardy Space H2(Bn)

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 35))

Abstract

Holomorphic self-maps ϕ of the open unit ball in ℂn which extend to be C3 on the closed unit ball are considered. For such ϕ we characterize those with the property that composition by ϕ preserves the Hardy space H2.

Supported in part by a grant from the National Science Foundation

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of North Carolina, 27514, Chapel Hill, North Carolina, USA

    W. R. Wogen

Authors
  1. W. R. Wogen
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Editor information

Editors and Affiliations

  1. School of Math. Sciences, Raymond and Beverly Sackler, Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel

    I. Gohberg

  2. Department of Mathematics, University of California, 92093, La Jolla, CA, USA

    J. W. Helton

  3. Department of Mathematics, Arizona State University, 85287, Tempe, AZ, USA

    L. Rodman

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© 1988 Birkhäuser Verlag Basel

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Wogen, W.R. (1988). The Smooth Mappings Which Preserve the Hardy Space H2(Bn). In: Gohberg, I., Helton, J.W., Rodman, L. (eds) Contributions to Operator Theory and its Applications. Operator Theory: Advances and Applications, vol 35. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9284-1_11

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  • DOI: https://doi.org/10.1007/978-3-0348-9284-1_11

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9978-9

  • Online ISBN: 978-3-0348-9284-1

  • eBook Packages: Springer Book Archive

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