Weighted composition operators from Zygmund spaces to Bloch spaces on the unit ball

Yu-Xia Liang, Chang-Jin Wang, and Ze-Hua Zhou. "Weighted composition operators from Zygmund spaces to Bloch spaces on the unit ball." Annales Polonici Mathematici 114.2 (2015): 101-114. <http://eudml.org/doc/281067>.

@article{Yu2015,
abstract = {Let H() denote the space of all holomorphic functions on the unit ball ⊂ ℂⁿ. Let φ be a holomorphic self-map of and u∈ H(). The weighted composition operator $uC_φ$ on H() is defined by $uC_φf(z) = u(z)f(φ(z))$. We investigate the boundedness and compactness of $uC_φ$ induced by u and φ acting from Zygmund spaces to Bloch (or little Bloch) spaces in the unit ball.},
author = {Yu-Xia Liang, Chang-Jin Wang, Ze-Hua Zhou},
journal = {Annales Polonici Mathematici},
keywords = {weighted composition operator; Zygmund space; Bloch space; boundedness; compactness},
language = {eng},
number = {2},
pages = {101-114},
title = {Weighted composition operators from Zygmund spaces to Bloch spaces on the unit ball},
url = {http://eudml.org/doc/281067},
volume = {114},
year = {2015},
}

TY - JOUR
AU - Yu-Xia Liang
AU - Chang-Jin Wang
AU - Ze-Hua Zhou
TI - Weighted composition operators from Zygmund spaces to Bloch spaces on the unit ball
JO - Annales Polonici Mathematici
PY - 2015
VL - 114
IS - 2
SP - 101
EP - 114
AB - Let H() denote the space of all holomorphic functions on the unit ball ⊂ ℂⁿ. Let φ be a holomorphic self-map of and u∈ H(). The weighted composition operator $uC_φ$ on H() is defined by $uC_φf(z) = u(z)f(φ(z))$. We investigate the boundedness and compactness of $uC_φ$ induced by u and φ acting from Zygmund spaces to Bloch (or little Bloch) spaces in the unit ball.
LA - eng
KW - weighted composition operator; Zygmund space; Bloch space; boundedness; compactness
UR - http://eudml.org/doc/281067
ER -