New Upper Bound for the Hilbert Matrix Norm on Negatively Indexed Weighted Bergman Spaces

被引：4
作者：
Bralovic, Dusica [1 ]
Karapetrovic, Boban [1 ]
机构：
[1] Univ Belgrade, Fac Math, Studentski Trg 16, Belgrade 11000, Serbia
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2022年 / 45卷 / 03期
关键词：
Hilbert matrix; Norm; Upper bound; Weighted Bergman spaces; COMPOSITION OPERATORS;
D O I：
10.1007/s40840-022-01245-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we obtain a new upper bound for the norm of the Hilbert matrix H on the weighted Bergman spaces A(alpha)(p) when -1 < alpha < 0, which is better than the known one in the case -1/2 < alpha < 0.
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页码：1183 / 1193
页数：11
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