Groups of unitary composition operators on Hardy-Smirnov spaces
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- by Gajath Gunatillake, Mirjana Jovovic and Wayne Smith PDF
- Proc. Amer. Math. Soc. 143 (2015), 2439-2449 Request permission
Abstract:
Let $\Omega$ be an open simply connected proper subset of the complex plane. We identify, up to isomorphism, which groups are possible for the group of unitary composition operators of a Hardy-Smirnov space defined on $\Omega$. We also study the relationship between the geometry of $\Omega$ and the corresponding group.References
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Additional Information
- Gajath Gunatillake
- Affiliation: Department of Mathematics and Statistics, American University of Sharjah, UAE
- Email: gajathg@gmail.com, mgunatillake@aus.edu
- Mirjana Jovovic
- Affiliation: Department of Mathematics, University of Hawaii, Honolulu, Hawaii 96822
- Email: jovovic@math.hawaii.edu
- Wayne Smith
- Affiliation: Department of Mathematics, University of Hawaii, Honolulu, Hawaii 96822
- MR Author ID: 213832
- Email: wayne@math.hawaii.edu
- Received by editor(s): July 19, 2013
- Received by editor(s) in revised form: December 16, 2013
- Published electronically: January 9, 2015
- Additional Notes: The first author would like to thank the University of Hawaii at Manoa for its generosity in hosting him during the collaboration.
- Communicated by: Pamela B. Gorkin
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 2439-2449
- MSC (2010): Primary 47B33; Secondary 30H10
- DOI: https://doi.org/10.1090/S0002-9939-2015-12436-7
- MathSciNet review: 3326026