Ole Fredrik Brevig, Joaquim Ortega-Cerdà , Kristian Seip, Jing Zhao
Published 2017-06-02Version 1
We state and discuss several interrelated results, conjectures, and questions regarding contractive inequalities for classical $H^p$ spaces of the unit disc. We study both coefficient estimates in terms of weighted $\ell^2$ sums and the Riesz projection viewed as a map from $L^q$ to $H^p$ with $q\ge p$. Some numerical evidence is given that supports our conjectures.
Coefficient estimates for $H^p$ spaces with $0<p<1$
On contractive projections in Hardy spaces
Semigroups of Composition Operators on Hardy Spaces of the half-plane
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