|
03 Ocak 2014, 15:40 
İstanbul Analiz SeminerleriBoundedness of composition operators on Hardy spaces of the half-plane via reproducing kernels Uğur Gül
It is very well-known that every composition operator on Hardy spaces of the
unit disc is bounded whereas the boundedness of composition operators on Hardy spaces
of the half-plane is not always possible. In 1999 Matache characterized the boundedness of
composition operators of the half-plane in terms of Carleson measures. In 2012 M. Jury and
S. Elliott, using the theory of positive kernels, found a geometrical criterion in terms of the
derivative of the inducing function at infi nity for the boundedness of composition operators
of the half-plane. In this talk we will survey the result of Jury and Elliott. I will give a brief
introduction to the theory of positive kernels. We will also discuss the posibility of extending
the method of Jury and Elliott to Hardy spaces of the poly-disc.
Analiz İngilizce Sabancı University, Karaköy Communication Center, Bankalar Caddesi 2, Karaköy admin 20.03.2020 |
