CONTRACTIVE INEQUALITIES FOR HARDY SPACES

被引：18

作者：

Brevig, Ole Fredrik ^{[1
]}

Ortega-Cerda, Joaquim ^{[2
,3
]}

Seip, Kristian ^{[1
]}

Zhao, Jing ^{[1
]}

机构：

[1] Norwegian Univ Sci & Technol, Dept Math Sci, NO-7491 Trondheim, Norway

[2] Univ Barcelona, Dept Matemat & Informat, Gran Via 585, Barcelona 08007, Spain

[3] Barcelona Grad Sch Math, Gran Via 585, Barcelona 08007, Spain

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2018年 / 59卷 / 01期

关键词：

Hardy spaces; extremal problems; contractive inequalities;

D O I：

10.7169/facm/1680

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 l(2) sums and the Riesz projection viewed as a map from L-q to H-p with q >= p. Some numerical evidence is given that supports our conjectures.

引用

页码：41 / 56

页数：16

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