Riemann-Stieltjes Operators between Vector-Valued Weighted Bloch Spaces

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Abstract

Let Open image in new window be a Banach space, we study Riemann-Stieltjes operators between Open image in new window -valued weighted Bloch spaces. Some necessary and sufficient conditions for these operators induced by holomorphic functions to be weakly compact and weakly conditionally compact are given by certain growth properties of the inducing symbols and some structural properties of the abstract Banach space, which extend some previous results.

Keywords

Full Article Publisher Note Bloch Space Weight Bloch Space 

Publisher note

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Copyright information

© Maofa Wang. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsWuhan UniversityWuhanChina

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