μ-HANKEL OPERATORS ON COMPACT ABELIAN GROUPS

被引：0
|
作者：
Mirotin, A. [1 ,2 ]
机构：
[1] Francisk Skorina Gomel State Univ, Dept Math & Programming Technol, Gomel 246019, BELARUS
[2] Southern Fed Univ, Reg Math Ctr, Rostov Na Donu 344090, Russia
来源：
ANALYSIS MATHEMATICA | 2023年 / 49卷 / 02期
关键词：
Hankel operator; mu-Hankel operator; Hardy space; compact Abelian group; ordered group; nuclear operator; integral operator; SPACES;
D O I：
10.1007/s10476-023-0217-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
(mu; nu)-Hankel operators between separable Hilbert spaces were introduced and studied recently (A. Mirotin and E. Kuzmenkova, mu-Hankel operators on Hilbert spaces, Opuscula Math., 41 (2021), 881-899). This paper is devoted to generalization of (mu; nu)-Hankel operators to the case of (non-separable in general) Hardy spaces over compact and connected Abelian groups. In this setting bounded (mu; nu)-Hankel operators are fully described under some natural conditions. Examples of integral operators are also considered.
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页码：617 / 640
页数：24
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