Functions of bounded mean oscillation and Hankel operators on compact abelian groups

被引：0

作者：

Dyba, R. V. ^{[1
]}

Mirotin, A. R. ^{[1
,2
]}

机构：

[1] Francisk Skorina Gomel State Univ, Gomel, BELARUS

[2] Francisk Skorina Gomel State Univ, Phys Mat Sci, Gomel, BELARUS

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2014年 / 20卷 / 02期

关键词：

Hankel operator; bounded operator; bounded mean oscillation; linearly ordered abelian group; compact abelian group;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Generalizations of the notions of function of bounded mean oscillation and Hankel operator to the case of compact abelian groups with linearly ordered dual group is considered. Spaces of functions of bounded mean oscillation and of bounded mean oscillation of analytic type on such groups are described in terms of the boundedness of corresponding Hankel operators under the assumption that the dual group contains a minimal positive element.

引用

页码：135 / 144

页数：10

共 17 条

[1] WIENER-HOPF OPERATORS ON A SUBSEMIGROUP OF A DISCRETE TORSION FREE ABELIAN GROUP [J].