Multivalent functions andQKspaces

Hasi Wulan
2004 International Journal of Mathematics and Mathematical Sciences  
We give a criterion forq-valent analytic functions in the unit disk to belong toQK, a Möbius-invariant space of functions analytic in the unit disk in the plane for a nondecreasing functionK:[0,∞)→[0,∞), and we show by an example that our condition is sharp. As corollaries, classical results on univalent functions, the Bloch space, BMOA, andQpspaces are obtained.
doi:10.1155/s0161171204401124 fatcat:tkpf7eonmrej5hd53n6flbpluq