Bloch-to-Hardy composition operators

Evgueni Doubtsov; Andrei Petrov

Open Mathematics (2013)

  • Volume: 11, Issue: 6, page 985-1003
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Evgueni Doubtsov, and Andrei Petrov. "Bloch-to-Hardy composition operators." Open Mathematics 11.6 (2013): 985-1003. <http://eudml.org/doc/269539>.

@article{EvgueniDoubtsov2013,
abstract = {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.},
author = {Evgueni Doubtsov, Andrei Petrov},
journal = {Open Mathematics},
keywords = {Bloch space; Composition operator; Hyperbolic Hardy class; composition operator; hyperbolic Hardy class; Hardy space; Bergman space},
language = {eng},
number = {6},
pages = {985-1003},
title = {Bloch-to-Hardy composition operators},
url = {http://eudml.org/doc/269539},
volume = {11},
year = {2013},
}

TY - JOUR
AU - Evgueni Doubtsov
AU - Andrei Petrov
TI - Bloch-to-Hardy composition operators
JO - Open Mathematics
PY - 2013
VL - 11
IS - 6
SP - 985
EP - 1003
AB - 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.
LA - eng
KW - Bloch space; Composition operator; Hyperbolic Hardy class; composition operator; hyperbolic Hardy class; Hardy space; Bergman space
UR - http://eudml.org/doc/269539
ER -

References

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