Hyponormality of singular Cauchy integral operators with matrix-valued symbols

Yoenha Kim; Eungil Ko; Jongrak Lee; Takahiko Nakazi

doi:10.14492/hokmj/1562810519

Hyponormality of singular Cauchy integral operators with matrix-valued symbols

Yoenha Kim, Eungil Ko, Jongrak Lee, Takahiko Nakazi

Department of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	443-459
Number of pages	17
Journal	Hokkaido Mathematical Journal
Volume	48
Issue number	2
DOIs	https://doi.org/10.14492/hokmj/1562810519
State	Published - 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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10.14492/hokmj/1562810519

Cite this

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title = "Hyponormality of singular Cauchy integral operators with matrix-valued symbols",

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.",

keywords = "Block Toeplitz operators, Hardy space, Hyponormal operator, Singular integral operator",

author = "Yoenha Kim and Eungil Ko and Jongrak Lee and Takahiko Nakazi",

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: {\textcopyright} 2013 Department of Mathematics, Hokkaido University.",

year = "2019",

doi = "10.14492/hokmj/1562810519",

language = "English",

volume = "48",

pages = "443--459",

journal = "Hokkaido Mathematical Journal",

issn = "0385-4035",

publisher = "Department of Mathematics, Hokkaido University",

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TY - JOUR

T1 - Hyponormality of singular Cauchy integral operators with matrix-valued symbols

AU - Kim, Yoenha

AU - Ko, Eungil

AU - Lee, Jongrak

AU - Nakazi, Takahiko

N1 - 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.

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Block Toeplitz operators

KW - Hardy space

KW - Hyponormal operator

KW - Singular integral operator

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DO - 10.14492/hokmj/1562810519

M3 - Article

AN - SCOPUS:85068969262

SN - 0385-4035

VL - 48

SP - 443

EP - 459

JO - Hokkaido Mathematical Journal

JF - Hokkaido Mathematical Journal

IS - 2

ER -

Hyponormality of singular Cauchy integral operators with matrix-valued symbols

Abstract

Bibliographical note

Keywords

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