Boundedness of composition operators on general weighted Hardy spaces of analytic functions

arXiv2011.14928MaRDI QIDQ6354888

Hervé Queffélec, L. Rodriguez-Piazza, Daniel Li, Pascal Lefèvre

Publication date: 30 November 2020

Abstract: We characterize the (essentially) decreasing sequences of positive numbers $$ = ($$ n) for which all composition operators on H 2 ($$) are bounded, where H 2 ($$) is the space of analytic functions f in the unit disk such that $infty$ n=0 |c n | 2 $$ n < $infty$ if f (z) = $infty$ n=0 c n z n. We also give conditions for the boundedness when $$ is not assumed essentially decreasing.

This page was built for publication: Boundedness of composition operators on general weighted Hardy spaces of analytic functions