Integral type operators from mixed-norm spaces to α-Bloch spaces

Abstract

Let g: B→ℂ¹ be a holomorphic map of the unit ball B. We study the following integral operators

The boundedness and compactness of operators T _g and L _g from mixed-norm spaces to the α-Bloch space ℬ^α and the little α-Bloch space on the unit ball are discussed in this article.

Keywords:

• Integral operator
• Mixed-norm space
• α-Bloch space

Acknowledgements

The first author is supported in part by the National Natural Science Foundation of China (No. 10671115), PhD Foundation (No. 20060560002) and NSF of Guangdong Province (No. 06105648).