PROPERTIES OF DUAL TOEPLITZ OPERATORS WITH APPLICATIONS TO HAPLITZ PRODUCTS ON THE HARDY SPACE OF THE POLYDISK

被引：9

作者：

Benaissa, Lakhdar ^{[1
,2
]}

Guediri, Hocine ^{[3
]}

机构：

[1] Ferhat Abbas Univ Setif 1, Dept Math, Fac Sci, Setif 19000, Algeria

[2] Ecole Super Commerce, Algiers 16000, Algeria

[3] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2015年 / 19卷 / 01期

关键词：

Dual Toeplitz operator; Hardy space of the polydisk; Commuting; Brown-Halmos; Hankel products; Mixed Toeplitz-Hankel products; HANKEL-OPERATORS; BERGMAN SPACE;

D O I：

10.11650/tjm.19.2015.4323

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce dual Toeplitz operators on the orthogonal complement of the Hardy space of the polydisk and establish their main algebraic properties using an auxiliary transformation of operators. As a byproduct, we exploit this mysterious transformation in the investigation of boundedness and compactness of Hankel products and mixed Toeplitz-Hankel products on the Hardy space of the polydisk.

引用

页码：31 / 49

页数：19

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