@article{bcdddb112fdf4716ab6121b5163d2da0,
title = "ON QUASINORMALITY OF SINGULAR INTEGRAL OPERATORS WITH CAUCHY KERNEL ON L2",
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.",
keywords = "quasinormal, singular integral operators, square root of a self-adjoint operator and an isometry",
author = "Eungil Ko and Lee, {Ji Eun}",
note = "Funding Information: Eungil Ko was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2019R1F1A1058633) and the Ministry of Education (No. 2019R1A6A1A11051177). Ji Eun Lee was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2019R1A2C1002653). 2020 AMS Mathematics subject classification: 47A20, 47B15, 47B35. Keywords and phrases: singular integral operators, square root of a self-adjoint operator and an isometry, quasinormal. Received by the editors on November 23, 2020, and in revised form on February 24, 2021. Publisher Copyright: {\textcopyright} 2021 Rocky Mountain Mathematics Consortium. All Rights Reserved.",
year = "2021",
month = mar,
doi = "10.1216/jie.2021.33.77",
language = "English",
volume = "33",
pages = "77--89",
journal = "Journal of Integral Equations and Applications",
issn = "0897-3962",
publisher = "Rocky Mountain Mathematics Consortium",
number = "1",
}