Abstract

This article is devoted to a deep study of the analytic Campanato space \(\mathcal {CA}_p\) on the unit disk via not only exploring the first and second pre-duals of \(\mathcal {CA}_p\) but also handling the boundedness of three operators: superposition \(\mathsf {S}^\phi \); backward shift \(\mathsf {S}_{\mathsf {b}}\); Schwarzian derivative \(\mathsf {S}\), acting on \(\mathcal {CA}_p\).

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