%0 Journal Article
%T Spectrum of Compact Weighted Composition Operators on the Weighted Hardy Space in the Unit Ball
%A Ze-Hua Zhou
%A Cheng Yuan
%J Journal of Inequalities and Applications
%D 2007
%I Springer
%R 10.1155/2007/61313
%X Let BN be the unit ball in the N-dimensional complex space, for     , a holomorphic function in BN, and     , a holomorphic map from BN into itself, the weighted composition operator on the weighted Hardy space H2(   2,BN) is given by (C    ,    )f=    (z)f(    (z)), where f бщ    H2(   2,BN). This paper discusses the spectrum of C    ,     when it is compact on a certain class of weighted Hardy spaces and when the composition map      has only one fixed point inside the unit ball.
%U http://dx.doi.org/10.1155/2007/61313