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arXiv:math/0607307 [math.CV]AbstractReferencesReviewsResources

A note on composition operators on Hardy spaces of the polydisk

Turgay Bayraktar

Published 2006-07-13, updated 2006-07-25Version 2

In this work, we prove that weak compactness of composition operator on $H^{1}(U^{n})$ coincides with its compactness. We also characterize bounded and compact composition operators on $H^{1}(U^{n}).$\

Comments: 8 pages
Categories: math.CV, math.FA
Subjects: 47B33, 47B38
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