Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11001 Beograd, Serbia
Copyright © 2009 Stevo Stević. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Here we introduce the th
weighted space on the upper half-plane in the complex plane . For the case , we
call it the Zygmund-type space, and denote it by . The main result of the
paper gives some necessary and sufficient conditions for the boundedness of
the composition operator from the Hardy space on the upper half-plane, to the Zygmund-type space, where is an analytic
self-map of the upper half-plane.