Contractive inequalities for Hardy spaces
Journal article, Peer reviewed
Accepted version
Permanent lenke
http://hdl.handle.net/11250/2588532Utgivelsesdato
2018Metadata
Vis full innførselSamlinger
- Institutt for matematiske fag [2531]
- Publikasjoner fra CRIStin - NTNU [38672]
Originalversjon
Functiones et Approximatio Commentarii Mathematici. 2018, 59 (1), 41-56. 10.7169/facm/1680Sammendrag
We state and discuss several interrelated results, conjectures, and questions regarding contractive inequalities for classical Hp spaces of the unit disc. We study both coefficient estimates in terms of weighted ℓ 2 sums and the Riesz projection viewed as a map from L q to Hp with q ≥ p. Some numerical evidence is given that supports our conjectures.