Essential norm of weighted composition operator between -Bloch space and -Bloch space in polydiscs.

Li, Songxiao; Zhu, Xiangling

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For any holomorphic function $f$ on the unit polydisk $𝔻^{n}$ we consider its restriction to the diagonal, i.e., the function in the unit disc $𝔻 \subset ℂ$ defined by $Diag f (z) = f (z, ..., z)$ , and prove that the diagonal map $Diag$ maps the space $Q_{p, q, s} (𝔻^{n})$ of the polydisk onto the space ${\hat{Q}}_{p, s, n}^{q} (𝔻)$ of the unit disk.

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Displaying similar documents to “Essential norm of weighted composition operator between α -Bloch space and β -Bloch space in polydiscs.”

Displaying similar documents to “Essential norm of weighted composition operator between $α$ -Bloch space and $β$ -Bloch space in polydiscs.”