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Weighted composition operators on the Dirichlet space: boundedness and spectral properties

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Chalendar, I. and Gallardo Gutiérrez, Eva A. and Partington, J.R. (2015) Weighted composition operators on the Dirichlet space: boundedness and spectral properties. Mathematische Annalen . ISSN 0025-5831

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Official URL: http://link.springer.com/article/10.1007/s00208-015-1195-y


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Abstract

Boundedness of weighted composition operators TeX acting on the classical Dirichlet space TeX as TeX is studied in terms of the multiplier space associated to the symbol TeX, i.e., TeX. A prominent role is played by the multipliers of the Dirichlet space. As a consequence, the spectrum of TeX in TeX whenever TeX is an automorphism of the unit disc is studied, extending a recent work of Hyvärinen et al. (J. Funct. Anal. 265:1749–1777, 2013) to the context of the Dirichlet space.


Item Type:Article
Uncontrolled Keywords:Dirichlet space Weighted composition operator
Subjects:Sciences > Mathematics
ID Code:29616
Deposited On:16 Apr 2015 09:32
Last Modified:16 Apr 2015 09:32

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