Compact composition operators on \(H^ p(B_ N)\)
Let \(B_ N\) be the open unit ball in \(C^ N\) and let \(\Phi:B_ N\to B_ N\) be a holomorphic self-map of \(B_ N\). For a holomorphic function f on \(B_ N\) denote the composition \(f\circ \phi\) by \(C_{\phi}(f)\). In the paper under review the boundedness and respectively the compactness of the operator \(C_{\phi}\), called the composition operators induced by \(\phi\), on some Hardy space \(H_ p(B_ N)\), \(0<p<\infty\), are investigated.
scientific article; zbMATH DE number 3937871
scientific article