Hyponormality of singular Cauchy integral operators with matrix-valued symbols

Yoenha Kim, Eungil Ko, Jongrak Lee, Takahiko Nakazi

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)443-459
Number of pages17
JournalHokkaido Mathematical Journal
Volume48
Issue number2
DOIs
StatePublished - 2019

Bibliographical note

Funding 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.

Publisher Copyright:
© 2013 Department of Mathematics, Hokkaido University.

Keywords

  • Block Toeplitz operators
  • Hardy space
  • Hyponormal operator
  • Singular integral operator

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