Weighted composition operators from  to the Bloch space on the polydisc.

Li, Songxiao; Stević, Stevo

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Displaying similar documents to “Weighted composition operators from $H^{\infty}$ to the Bloch space on the polydisc.”

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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.

Weighted differentiation composition operators from the mixed-norm space to the $n$ th weigthed-type space on the unit disk.

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Displaying similar documents to “Weighted composition operators from H ∞ to the Bloch space on the polydisc.”

Displaying similar documents to “Weighted composition operators from $H^{\infty}$ to the Bloch space on the polydisc.”