μ-Hankel operators on Hilbert spaces

Opuscula Mathematica

article

Adolf Mirotin (corresponding author)¹  Ekaterina Kuzmenkova² 

[1] Regional Mathematical Center, Southern Federal University;F. Skorina Gomel State University, Department of Mathematics and Programming Technologies

关键词: Hankel operator;    \(\mu\)-Hankel operator;    Hardy space;    integral representation;    nuclear operator;    integral operator.;   

DOI  :  10.7494/OpMath.2021.41.6.881

学科分类：环境科学（综合）

来源: AGH University of Science and Technology Press

【 摘 要 】

A class of operators is introduced (\(\mu\)-Hankel operators, \(\mu\) is a complex parameter), which generalizes the class of Hankel operators. Criteria for boundedness, compactness, nuclearity, and finite dimensionality are obtained for operators of this class, and for the case \(|\mu| = 1\) their description in the Hardy space is given. Integral representations of \(\mu\)-Hankel operators on the unit disk and on the Semi-Axis are also considered.

【 授权许可】

CC BY-NC