Hyponormal Toeplitz Operators with Non-harmonic Symbols on the Generalized Derivative Hardy Space

Eungil Ko; Ji Eun Lee; Jongrak Lee

doi:10.1007/s00009-022-02209-w

Hyponormal Toeplitz Operators with Non-harmonic Symbols on the Generalized Derivative Hardy Space

Eungil Ko, Ji Eun Lee, Jongrak Lee

Department of Mathematics

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

Abstract

In this paper, we study necessary and sufficient conditions for the hyponormality of Toeplitz operators with some non-harmonic symbols on the generalized derivative Hardy space. Moreover, we characterize the expansivity and contractivity of Toeplitz operators with such symbols on the generalized derivative Hardy space.

Original language	English
Article number	3
Journal	Mediterranean Journal of Mathematics
Volume	20
Issue number	1
DOIs	https://doi.org/10.1007/s00009-022-02209-w
State	Published - Feb 2023

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keywords

Derivative Hardy spaces
Toeplitz operator
hyponormal
non-harmonic symbols

Access to Document

10.1007/s00009-022-02209-w

Cite this

@article{24413b54afcb46c3b8832dbf78ded4df,

title = "Hyponormal Toeplitz Operators with Non-harmonic Symbols on the Generalized Derivative Hardy Space",

abstract = "In this paper, we study necessary and sufficient conditions for the hyponormality of Toeplitz operators with some non-harmonic symbols on the generalized derivative Hardy space. Moreover, we characterize the expansivity and contractivity of Toeplitz operators with such symbols on the generalized derivative Hardy space.",

keywords = "Derivative Hardy spaces, Toeplitz operator, hyponormal, non-harmonic symbols",

author = "Eungil Ko and Lee, {Ji Eun} and Jongrak Lee",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2023",

month = feb,

doi = "10.1007/s00009-022-02209-w",

language = "English",

volume = "20",

journal = "Mediterranean Journal of Mathematics",

issn = "1660-5446",

publisher = "Birkhauser Verlag Basel",

number = "1",

}

TY - JOUR

T1 - Hyponormal Toeplitz Operators with Non-harmonic Symbols on the Generalized Derivative Hardy Space

AU - Ko, Eungil

AU - Lee, Ji Eun

AU - Lee, Jongrak

PY - 2023/2

Y1 - 2023/2

N2 - In this paper, we study necessary and sufficient conditions for the hyponormality of Toeplitz operators with some non-harmonic symbols on the generalized derivative Hardy space. Moreover, we characterize the expansivity and contractivity of Toeplitz operators with such symbols on the generalized derivative Hardy space.

AB - In this paper, we study necessary and sufficient conditions for the hyponormality of Toeplitz operators with some non-harmonic symbols on the generalized derivative Hardy space. Moreover, we characterize the expansivity and contractivity of Toeplitz operators with such symbols on the generalized derivative Hardy space.

KW - Derivative Hardy spaces

KW - Toeplitz operator

KW - hyponormal

KW - non-harmonic symbols

UR - http://www.scopus.com/inward/record.url?scp=85143130607&partnerID=8YFLogxK

U2 - 10.1007/s00009-022-02209-w

DO - 10.1007/s00009-022-02209-w

M3 - Article

AN - SCOPUS:85143130607

SN - 1660-5446

VL - 20

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 1

M1 - 3

ER -

Hyponormal Toeplitz Operators with Non-harmonic Symbols on the Generalized Derivative Hardy Space

Abstract

Bibliographical note

Keywords

Access to Document

Fingerprint

Cite this