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Toeplitz operators on weighted Hardy and Besov spaces

✍ Scribed by Carme Cascante; Joan Fàbrega; Joaquin M. Ortega

Publisher: Springer-Verlag
Year: 2008
Tongue: French
Weight: 329 KB
Volume: 263
Category: Article
ISSN: 0025-5874
DOI: 10.1007/s00209-008-0439-x

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## Abstract We investigate the composition operators on the weighted Hardy spaces __H__^2^(__β__). For any bounded weight sequence __β__, we give necessary conditions for those operators to be isometric. The sufficiency of those conditions is well‐known for the classical space __H__^2^. In the case