Multipliers on Dirichlet type spaces

被引：0
|
作者：
Jupiter, Daniel [1 ]
Redett, David [1 ,2 ]
机构：
[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
[2] Indiana Purdue Univ Ft Wayne, Dept Math Sci, Ft Wayne, IN 46805 USA
来源：
ACTA SCIENTIARUM MATHEMATICARUM | 2006年 / 72卷 / 1-2期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we examine Dirichlet type spaces in the unit polydisc, and multipliers between these spaces. These results extend the corresponding work of G. D. Taylor in the unit disc. In addition, we consider functions on the polydisc whose restrictions to lower dimensional polydiscs lie in the corresponding Dirichet type spaces. We see that such functions need not be in the Dirichlet type space of the whole polydisc. Similar observations are made regarding multipliers.
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页码：179 / 203
页数：25
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