ON CONTINUOUS LINEAR FUNCTIONALS IN SOME WEIGHTED FUNCTIONAL CLASSES ON PRODUCT DOMAINS

被引:0
|
作者
Shamoyan, R. F. [1 ]
Makhina, N. M. [1 ]
机构
[1] Bryansk State Univ, Bezhitskaya St 14, Bryansk 241036, Russia
来源
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2015年 / 12卷
关键词
weighted spaces; linear continuous functionals; conjugate space; analytic functions; polydisk; unit ball; pseudoconvex domains; tubular domains;
D O I
10.17377/semi.2015.12.052
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This expository article provides an overview of some new research results of authors and their colleagues regarding the problem of description of continuous linear functionals in weighted spaces of analytic and n-harmonic functions in one dimension case and n-dimensional complex space C-n. New extension is discussed, some new interesting problems in analytic spaces in product domains are also discussed.
引用
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页码:651 / 678
页数:28
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