@Article{ATA-34-225, author = {}, title = {Some Characterizations of Bloch Functions}, journal = {Analysis in Theory and Applications}, year = {2018}, volume = {34}, number = {3}, pages = {225--231}, abstract = {

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 $C_{\phi}$ acting between two Bloch-type spaces. These obtained results generalize the corresponding known ones to the setting of $\mathcal{C}^1(\mathbb{D})$.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2017-0059}, url = {http://global-sci.org/intro/article_detail/ata/12837.html} }