Open Access

Riemann-Stieltjes Operators between Vector-Valued Weighted Bloch Spaces

Journal of Inequalities and Applications20082008:348208

https://doi.org/10.1155/2008/348208

Received: 6 June 2008

Accepted: 11 September 2008

Published: 22 September 2008

Abstract

Let be a Banach space, we study Riemann-Stieltjes operators between -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.

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Authors’ Affiliations

(1)
School of Mathematics and Statistics, Wuhan University

Copyright

© 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.