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

نویسندگان

  • Ze-Hua Zhou
  • Cheng Yuan
  • András Rontó
چکیده

Let BN be the unit ball in the N-dimensional complex space, for ψ, a holomorphic function in BN , and φ, a holomorphic map from BN into itself, the weighted composition operator on the weighted Hardy space H(β,BN ) is given by (Cψ,φ) f = ψ(z) f (φ(z)), where f ∈H2(β,BN ). This paper discusses the spectrum of Cψ,φ when it is compact on a certain class of weighted Hardy spaces and when the composition map φ has only one fixed point inside the unit ball.

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تاریخ انتشار 2007