期刊论文详细信息
Opuscula Mathematica | |
μ-Hankel operators on Hilbert spaces | |
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
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO202302200001673ZK.pdf | 520KB | download |