ON QUASINORMALITY OF SINGULAR INTEGRAL OPERATORS WITH CAUCHY KERNEL ON L2

Eungil Ko; Ji Eun Lee

doi:10.1216/jie.2021.33.77

ON QUASINORMALITY OF SINGULAR INTEGRAL OPERATORS WITH CAUCHY KERNEL ON L²

Eungil Ko
, Ji Eun Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study the quasinormality of singular integral operators with Cauchy kernel on L ². Moreover, we give characterizations for singular integral operators to be the square root of a self-adjoint operator and an isometry, respectively. Furthermore, we consider the condition for singular integral operators to be D -operators. We provide several results and examples of such operators as applications.

Original language	English
Pages (from-to)	77-89
Number of pages	13
Journal	Journal of Integral Equations and Applications
Volume	33
Issue number	1
DOIs	https://doi.org/10.1216/jie.2021.33.77
State	Published - Mar 2021

Bibliographical note

Publisher Copyright:
© 2021 Rocky Mountain Mathematics Consortium. All Rights Reserved.

Keywords

quasinormal
singular integral operators
square root of a self-adjoint operator and an isometry

Access to Document

10.1216/jie.2021.33.77

Cite this

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abstract = "We study the quasinormality of singular integral operators with Cauchy kernel on L 2. Moreover, we give characterizations for singular integral operators to be the square root of a self-adjoint operator and an isometry, respectively. Furthermore, we consider the condition for singular integral operators to be D -operators. We provide several results and examples of such operators as applications.",

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KW - square root of a self-adjoint operator and an isometry

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