%0 Journal Article
%T Outer functions in
%A Rauno Aulaskari
%A Hasi Wulan
%J Journal of Function Spaces and Applications
%D 2004
%I Hindawi Publishing Corporation
%R 10.1155/2004/493269
%X For 0<p<∞,  Qp#  (Qp,0#) is the class of meromorphic functions f defined in the unit disk D={z:|z|<1} satisfying sup⁡w∈D∬D(f#(z))2gp(z,w)dσz<∞  (lim⁡w→∂D∬D(f#(z))2gp(z,w)dσz=0), where g(z,w) is Green's function of D. Criteria for funtions f to belong to Qp#  (Qp,0#) are given by the Ahlfors-Shimizu characteristic. Further, outer functions in Qp#  (Qp,0#) are characterized and shown that every function in Qp#  (Qp,0#) can be represented as the quotient of two functions in H∞∩Qp#  (H∞∩Qp,0#).
%U http://www.hindawi.com/journals/jfsa/2004/493269/abs/