The essential norm of hankel operators on the weighted bergman spaces with exponential type weights

被引：4
|
作者：
Asserda, S [1 ]
机构：
[1] Univ Ibn Tofail, Equip Anal Complexe, Lab Anal Fonctionnelle Harmon & Complexe, Fac Sci,Dept Math, Kenitra, Morocco
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2006年 / 55卷 / 01期
关键词：
essential norm; Hankel oprator; Bergman space; L-2 estimates for; partial derivative and partial derivative o eta operators; Carleson measure;
D O I：
10.1007/s00020-006-1426-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let AL(phi)(2) (D) denote the closed subspace of L-2 (D, e-(2 phi)d lambda) consisting of analytic functions in the unit disc U. For certain class of subharmonic functions phi : D -> R and f is an element of L-2 (D), it is shown that the essential norm of Hankel operator H-f : AL(phi)(2) (D) -> L-phi(2) (D) is comparable to the distance norm from Hf to compact Hankel operators.
引用
收藏
页码：1 / 18
页数：18
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