CARLESON MEASURES AND REPRODUCING KERNEL THESIS IN DIRICHLET-TYPE SPACES

被引：6
|
作者：
Chacon, G. R. [1 ]
Fricain, E. [2 ]
Shabankhah, M. [3 ]
机构：
[1] Pontificia Univ Javeriana, Dept Matemat, Bogota, Colombia
[2] Univ Lille 1, UMR 8524, Lab Paul Painleve, F-59655 Villeneuve Dascq, France
[3] Univ Tehran, Coll Engn, Dept Engn Sci, Tehran 111554563, Iran
来源：
ST PETERSBURG MATHEMATICAL JOURNAL | 2013年 / 24卷 / 06期
关键词：
Dirichlet-type spaces; Carleson measures; reproducing kernel thesis; BRANGES-ROVNYAK SPACES; INTERPOLATING-SEQUENCES; INVARIANT SUBSPACES; TOEPLITZ-OPERATORS; MULTIPLIERS; THEOREM;
D O I：
10.1090/S1061-0022-2013-01269-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper, a generalization of a Richter and Sundberg representation theorem is employed to obtain a new characterization of Carleson measures for the Dirichlet-type space D(mu) when mu is a finite sum of point masses. A reproducing kernel thesis result is also established in this case.
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页码：847 / 861
页数：15
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