Journal
JOURNAL OF FUNCTIONAL ANALYSIS
Volume 260, Issue 7, Pages 1969-2003Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2010.12.019
Keywords
Composition operators; Polydisk; Carleson measures
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We study the continuity of composition operators on the classical Hardy and weighted Bergman spaces of the polydisk. We show that this problem involves some delicate properties of the derivative of the symbol. In particular, we characterize continuity when the symbol is a linear self-map of the polydisk. (C) 2011 Elsevier Inc. All rights reserved.
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