Composition operators on generalized Bloch spaces of the polydisk
泛函分析
2007-05-23 v1 复变函数
摘要
Let p,q>0. We extend to the n-polydisk previous one-variable characterization results of K. Madigan on the -Lipschitz space and K. Madigan/A. Matheson on the Bloch space by obtaining function-theoretic conditions on a holomorphic self-map of the polydisk such that the induced composition operator is bounded or compact between p- and q-Bloch spaces of the polydisk. These conditions turn out to be different in the cases when p is in (0,1) and when p is at least 1. We also obtain corresponding characterization results for composition operators between generalized little p- and q-Bloch spaces of the polydisk.
引用
@article{arxiv.math/0507339,
title = {Composition operators on generalized Bloch spaces of the polydisk},
author = {Dana D. Clahane and Stevo Stevic and Zehua Zhou},
journal= {arXiv preprint arXiv:math/0507339},
year = {2007}
}
备注
10 pages