@Article{ATA-32-215,
author = {M. A. Bakhit},
title = {Closed Range Composition Operators on a General Family of Function Spaces},
journal = {Analysis in Theory and Applications},
year = {2016},
volume = {32},
number = {3},
pages = {215--231},
abstract = {<p style="text-align: justify;">In this paper, necessary and sufficient conditions for a closed range composition operator $C_{\phi}$ on the general family of holomorphic function spaces $F(p, q, s)$ and more generally on $\alpha$-Besov type spaces $F(p, \alpha p-2, s)$ are given. We give a Carleson measure characterization on $F(p, \alpha p-2, s)$ spaces, then we indicate how Carleson measures can be used to characterize boundedness and compactness of $C_{\phi}$ on $F(p,q,s)$ and $F(p,\alpha p-2,s)$ spaces.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2016.v32.n3.2},
url = {http://global-sci.org/intro/article_detail/ata/4667.html}
}