In this paper, we study a class of hyponormal singular integral operators with matrix-valued symbols. First, we characterize hyponormal singular integral operators SΦ,Ψ with trigonometric polynomial symbols Φ and Ψ. Next, we concentrate on the hyponormality of SΦ,Ψ with some assumptions for the symbols Φ and Ψ.
Bibliographical noteFunding Information:
The first author was supported by Basic Science Researc h Program through the National Researc h Foundation of Korea(NRF) funded by the MinistryofScience,ICT&Future Planning(2015R1C1A1A02036456). The second author was supported by Basic Science Researc h Program through the National Researc h Foundation of Korea (NRF) funded by the Ministry of Education (2016R1D1A1B03931937). The third author was supported by BrainKorea21plusMathematicalScienceTeam forGlobalWomen Leaders at Ewha Womans Univ ersit y.
© 2013 Department of Mathematics, Hokkaido University.
- Block Toeplitz operators
- Hardy space
- Hyponormal operator
- Singular integral operator