TY - JOUR
T1 - Some Characterizations of Bloch Functions
JO - Analysis in Theory and Applications
VL - 3
SP - 225
EP - 231
PY - 2018
DA - 2018/11
SN - 34
DO - http://doi.org/10.4208/ata.OA-2017-0059
UR - https://global-sci.org/intro/article_detail/ata/12837.html
KW - Bloch space, majorant, composition operator.
AB - <p style="text-align: justify;">We define Bloch-type functions of $\mathcal{C}^1(\mathbb{D})$ on the unit disk of complex plane $\mathbb{C}$ and characterize them in terms of weighted Lipschitz functions. We also discuss
the boundedness of a composition operator $C_{\phi}$&nbsp;acting between two Bloch-type spaces.
These obtained results generalize the corresponding known ones to the setting of <span style="text-align: justify;"></span><span style="text-align: justify;">$\mathcal{C}^1(\mathbb{D})$</span><span style="text-align: justify;">.</span></p>