COMPOSITION OPERATORS ON HARDY-ORLICZ SPACES ON PLANAR DOMAINS

被引：3
|
作者：
Rzeczkowski, Michal [1 ]
机构：
[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2017年 / 42卷 / 02期
关键词：
Hardy Orlicz spaces; composition operators; Hardy spaces on planar domain; Carleson measures; COMPACT COMPOSITION OPERATORS; ESSENTIAL NORM;
D O I：
10.5186/aasfm.2017.4240
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show isomorphic and isometric characterizations of Hardy-Orlicz spaces on multiply-connected domains whose boundary consists of finitely many disjoint analytic Jordan curves. We also study composition operators on these spaces. In particular we obtain characterization of compact composition operators on Hardy-Orlicz spaces in terms of Carleson's measures defined in the paper.
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页码：593 / 609
页数：17
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