Banach Journal of Mathematical Analysis

Composition operators between weighted Bergman spaces with admissible Bekolle weights

Ajay K. Sharma and Sei-ichiro Ueki

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We study composition operators acting between weighted Bergman spaces with admissible Békollé weights. The boundedness and compactness of composition operators are characterized in terms of the generalized Nevanlinna counting function associated with the inducing map of the composition operator and the associated weight function of Bergman space. For a special case, we also give the estimate of the essential norm.

Article information

Banach J. Math. Anal., Volume 8, Number 1 (2014), 64-88.

First available in Project Euclid: 14 October 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 47B33: Composition operators
Secondary: 30H20: Bergman spaces, Fock spaces

composition operators Bergman spaces generalized Nevanlinna counting functions


Sharma , Ajay K.; Ueki, Sei-ichiro. Composition operators between weighted Bergman spaces with admissible Bekolle weights. Banach J. Math. Anal. 8 (2014), no. 1, 64--88. doi:10.15352/bjma/1381782088.

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