International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 31, Pages 1973-1979
doi:10.1155/S0161171203207122

Composition operators from the Bloch space into the spaces QT

Pengcheng Wu1 and Hasi Wulan2

 1Department of Mathematics, Guizhou Normal University, Guiyang 550001, China
2Department of Mathematics, Shantou University, Shantou 515063, Guangdong, China
Received 10 July 2002

Abstract

Suppose that φ(z) is an analytic self-map of the unit disk Δ. We consider the boundedness of the composition operator Cφ from Bloch space ℬ into the spaces QT (QT,0) defined by a nonnegative, nondecreasing function T(r) on 0≤r<∞.