TY - JOUR
T1 - Weighted Composition Operators from the Bloch Space to Weighted Banach Spaces on Bounded Homogeneous Domains
AU - R. F. Allen
JO - Analysis in Theory and Applications
VL - 2
SP - 236
EP - 248
PY - 2014
DA - 2014/06
SN - 30
DO - http://doi.org/10.4208/ata.2014.v30.n2.9
UR - https://global-sci.org/intro/article_detail/ata/4488.html
KW - Weighted composition operators, Bloch space, weighted Banach space, homogeneous domain.
AB - <p style="text-align: justify;">We study the bounded and the compact weighted composition operators from the Bloch space into the weighted Banach spaces of holomorphic functions on bounded homogeneous domains, with particular attention to the unit polydisk. For bounded homogeneous domains, we characterize the bounded weighted composition operators and determine the operator norm. In addition, we provide sufficient conditions for compactness. For the unit polydisk, we completely characterize the compact weighted composition operators, as well as provide &quot;computable&quot; estimates on the operator norm.</p>