Weighted Composition Operators between different Bloch-type Spaces in Polydisk

نویسندگان

  • Zehua Zhou
  • Renyu Chen
چکیده

Let φ(z) = (φ 1 (z),. .. , φ n (z)) be a holomorphic self-map of U n and ψ(z) a holomorphic function on U n , where U n is the unit polydisk of C n. Let p ≥ 0, q ≥ 0, this paper gives some necessary and sufficient conditions for the weighted composition operator W ψ,φ induced by ψ and φ to be bounded and compact between p-Bloch space B p (U n) and q-Bloch space B q (U n).

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تاریخ انتشار 2005