Pluricapacity and approximation numbers of composition operators
Abstract
For suitable bounded hyperconvex sets $\Omega$ in $\C^N$, in particular the ball or the polydisk, we give estimates for the
approximation numbers of composition operators $C_\phi \colon H^2 (\Omega) \to H^2 (\Omega)$ when $\phi (\Omega)$ is relatively compact in $\Omega$,
involving the Monge-Amp\`ere capacity of $\phi (\Omega)$.
Origin : Files produced by the author(s)
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