Let φ be a holomorphic mapping between complex unit balls. We characterize those regular φ for which the composition operators C φ: f ↦ f ○ φ map the Bloch space into the Hardy space.
@article{bwmeta1.element.doi-10_2478_s11533-013-0229-5,
author = {Evgueni Doubtsov and Andrei Petrov},
title = {Bloch-to-Hardy composition operators},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {985-1003},
zbl = {1272.32001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0229-5}
}
Evgueni Doubtsov; Andrei Petrov. Bloch-to-Hardy composition operators. Open Mathematics, Tome 11 (2013) pp. 985-1003. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0229-5/
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