CARLESON MEASURES ON CIRCULAR DOMAINS AND CANONICAL EMBEDDINGS OF HARDY SPACES INTO FUNCTION LATTICES

被引：0

作者：

Mleczko, Pawel ^{[1
]}

Rzeczkowski, Michal ^{[1
]}

机构：

[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, Umultowska 87, PL-61614 Poznan, Poland

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2019年 / 13卷 / 04期

关键词：

Hardy spaces; rearrangement-invariant spaces; composition operators; Carleson measures; INTERPOLATION;

D O I：

10.1215/17358787-2019-0013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study general variants of spaces of holomorphic functions on circular domains on the complex plane. We define Hardy-type spaces generated by Banach function lattices, for which we prove the Carleson theorem. We also analyze canonical embeddings of such spaces into appropriate function lattices. Finally, we study composition operators on Hardy-type spaces on circular domains and characterize order-boundedness of such maps.

引用

页码：864 / 883

页数：20

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