Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 426, Issue 1, Pages 340-363Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2015.01.010
Keywords
Weighted Bergman spaces; Carleson measure; Composition operator; Dirichlet series; Essential norm; Generalized Nevanlinna counting function
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We study boundedness and compactness of composition operators on weighted Bergman spaces of Dirichlet series. Particularly, we obtain in some specific cases, upper and lower bounds of the essential norm of these operators and a criterion of compactness on classical weighted Bergman spaces. Moreover, a sufficient condition of compactness is obtained using the notion of Carleson's measure. (C) 2015 Elsevier Inc. All rights reserved.
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