Analogue of slant Hankel operators on the Lebesgue space of n-torus

被引：7

作者：

Datt, Gopal ^{[1
]}

Gupta, Bhawna Bansal ^{[2
]}

机构：

[1] Univ Delhi, PGDAV Coll, Dept Math, New Delhi 110065, India

[2] Univ Delhi, Dept Math, Miranda House, New Delhi 110007, India

来源：

ADVANCES IN OPERATOR THEORY | 2021年 / 6卷 / 04期

关键词：

Hankel operator; kth-order slant Hankel operator; Lebesgue space; Slant Hankel operator; Slant Toeplitz operator;

D O I：

10.1007/s43036-021-00162-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the multivariate analogue of slant Hankel operator on L-2 (T-n), (n >= 1, a natural number), the Lebesgue space of square integrable functions defined on Tn, where T is the unit circle, is introduced. Various characterizations are obtained for a bounded operator on L-2(T-n) to be a kth- order slant Hankel operator (k >= 2, a fixed integer).

引用

页数：15

共 11 条

[1]

Arora SC, 2006, ARCH MATH-BRNO, V42, P125

[2] A NEW NECESSARY CONDITION FOR THE HYPONORMALITY OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE [J].