A CLASS OF SYMBOLS THAT INDUCE BOUNDED COMPOSITION OPERATORS FOR DIRICHLET-TYPE SPACES ON THE DISC

被引：0
|
作者：
Beslikas, Athanasios [1 ]
机构：
[1] Jagiellonian Univ, Inst Math, Fac Math & Comp Sci, Doctoral Sch Exact & Nat Studies, Lojasiewicza 6, PL-30348 Krakow, Poland
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2024年
关键词：
Dirichlet-type spaces; composition operators; weighted Bergman spaces;
D O I：
10.1017/S0004972724000170
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the problem of determining the holomorphic self maps of the unit disc that induce a bounded composition operator on Dirichlet-type spaces. We find a class of symbols $\varphi $ that induce a bounded composition operator on the Dirichlet-type spaces, by applying results of the multidimensional theory of composition operators for the weighted Bergman spaces of the bi-disc.
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页数：6
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