DISTANCE ESTIMATES, NORM OF HANKEL OPERATORS AND RELATED QUESTIONS

被引：1

作者：

Altwaijry, Najla ^{[1
]}

Baazeem, Amani S. ^{[1
]}

Garayev, Mubariz ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

来源：

OPERATORS AND MATRICES | 2018年 / 12卷 / 01期

关键词：

Berezin symbol; Hankel operator; Toeplitz operator; compact operator; Berezin number; distance estimate; model operator;

D O I：

10.7153/oam-2018-12-10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider Berezin symbols and Hankel operators on the Hardy space H-2(D) over the unit disc D = {z is an element of C : |z| < 1} and give their some applications. Namely, we estimate in terms of Hankel operators and Berezin symbols the distances from a given operator to the algebra of all analytic Toeplitz operators and to the set of all Toeplitz operators on H-2(D). We use Hankel operator also to prove some lower estimate for the so-called Berezin number of bounded linear operators on H-2. Some other related questions are also discussed.

引用

页码：157 / 168

页数：12

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