Riemann-Stieltjes operators between Bergman-type spaces and α -Bloch spaces

Songxiao Li

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-17

Abstract:

We study the following integral operators: J g f ( z ) = ∫ 0 z f ( ξ ) g ′ ( ξ ) d ξ ; I g f ( z ) = ∫ 0 z f ′ ( ξ ) g ( ξ ) d ξ , where g is an analytic function on the open unit disk in the complex plane. The boundedness and compactness of J g , I g between the Bergman-type spaces and the α -Bloch spaces are investigated.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:086259

DOI: 10.1155/IJMMS/2006/86259

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