@article{1a525ac3c8724a6dac05555cae041592,
title = "Hyponormality of Toeplitz operators on the Fock spaces",
abstract = "In this paper, we consider the hyponormality of Toeplitz operators (Formula presented.) on the Fock spaces (Formula presented.). First we characterize the necessary and sufficient conditions for the hyponormality of Toeplitz operators (Formula presented.) on (Formula presented.) with some symbol ϕ in the class of functions (Formula presented.) with polynomials f and g. Next, we consider the necessary condition for hyponormality of (Formula presented.) with trigonometric polynomial symbol ϕ.",
keywords = "47A62, 47B15, 47B20, Fock space, hyponormal, Toeplitz operators",
author = "Eungil Ko and Jongrak Lee",
note = "Funding Information: The first author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2016R1D1A1B03931937). The second author was supported by Brain Korea 21 plus Mathematical Science Team for Global Women Leaders at Ewha Womans University and the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2018R1D1A1B07048620). Publisher Copyright: {\textcopyright} 2018, {\textcopyright} 2018 Informa UK Limited, trading as Taylor & Francis Group.",
year = "2019",
doi = "10.1080/17476933.2018.1557156",
language = "English",
volume = "64",
pages = "1825--1843",
journal = "Complex Variables and Elliptic Equations",
issn = "1747-6933",
publisher = "Taylor and Francis Ltd.",
number = "11",
}