Journal of Inequalities and Applications (Jan 2007)

Spectrum of Compact Weighted Composition Operators on the Weighted Hardy Space in the Unit Ball

  • Zhou Ze-Hua,
  • Yuan Cheng

Journal volume & issue
Vol. 2007, no. 1
p. 061313


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Let be the unit ball in the -dimensional complex space, for , a holomorphic function in , and , a holomorphic map from into itself, the weighted composition operator on the weighted Hardy space is given by , where . This paper discusses the spectrum of 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.