J. Aust. Math. Soc.  82 (2007), 283-295

Derivative-free characterizations of QK spaces

Hasi Wulan   Department of Mathematics   Shantou University   Shantou   China   wulan@stu.edu.cn and Kehe Zhu   Department of Mathematics   SUNY   Albany, NY 12222   USA   and   Department of Mathematics   Shantou University   Shantou   China   kzhu@math.albany.edu

Abstract

We give two characterizations of the Möbius invariant QK spaces, one in terms of a double integral and the other in terms of the mean oscillation in the Bergman metric. Both characterizations avoid the use of derivatives. Our results are new even in the case of Qp spaces.

Download the article in PDF format (size 124 Kb)

Australian Mathematical Publishing Association Inc. ©  Australian MS