Q_p spaces with nondecreasing functions
by
Hasi Wulan
Shantou University, China

Starting from a nondecreasing function K:[0, \infty) --> [0, \infty), we consider a Möbius-invariant space Q_K of functions analytic in the unit disk in the plane. A number of differences between spaces Q_K and the meromorphic counterparts Q_K^# of Q_K are discussed. A special non-normal function shows strongly that some results for the spaces Q_K do not remain true for the corresponding classes Q_K^#. The function also works in studying of some related topics as a counter-example.

Date received: May 28, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahs-10.