Conjugations and complex symmetric block Toeplitz operators on the weighted Hardy space

Eungil Ko; Ji Eun Lee; Jongrak Lee

doi:10.1007/s13398-021-01159-4

Conjugations and complex symmetric block Toeplitz operators on the weighted Hardy space

Eungil Ko
, Ji Eun Lee
, Jongrak Lee

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

1 Scopus citations

Abstract

In this paper, we study block conjugations on the weighted Hardy space H_ρ(Cⁿ). Using these conjugations, we investigate the complex symmetry of a block Toeplitz operator on the weighted Hardy space H_ρ(Cⁿ). From the main results, we provide several applications for such operators.

Original language	English
Article number	18
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Volume	116
Issue number	1
DOIs	https://doi.org/10.1007/s13398-021-01159-4
State	Published - Jan 2022
Externally published	Yes

Keywords

Block Toeplitz operator
Complex symmetric operator
Conjugation operator
The weighted Hardy space

Access to Document

10.1007/s13398-021-01159-4

Cite this

@article{a20f924425f94dcf8c3b2b61a270e2ae,

title = "Conjugations and complex symmetric block Toeplitz operators on the weighted Hardy space",

abstract = "In this paper, we study block conjugations on the weighted Hardy space Hρ(Cn). Using these conjugations, we investigate the complex symmetry of a block Toeplitz operator on the weighted Hardy space Hρ(Cn). From the main results, we provide several applications for such operators.",

keywords = "Block Toeplitz operator, Complex symmetric operator, Conjugation operator, The weighted Hardy space",

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

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s) under exclusive licence to The Royal Academy of Sciences, Madrid.",

year = "2022",

month = jan,

doi = "10.1007/s13398-021-01159-4",

language = "English",

volume = "116",

journal = "Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas",

issn = "1578-7303",

publisher = "Springer-Verlag Italia s.r.l.",

number = "1",

}

TY - JOUR

T1 - Conjugations and complex symmetric block Toeplitz operators on the weighted Hardy space

AU - Ko, Eungil

AU - Lee, Ji Eun

AU - Lee, Jongrak

PY - 2022/1

Y1 - 2022/1

N2 - In this paper, we study block conjugations on the weighted Hardy space Hρ(Cn). Using these conjugations, we investigate the complex symmetry of a block Toeplitz operator on the weighted Hardy space Hρ(Cn). From the main results, we provide several applications for such operators.

AB - In this paper, we study block conjugations on the weighted Hardy space Hρ(Cn). Using these conjugations, we investigate the complex symmetry of a block Toeplitz operator on the weighted Hardy space Hρ(Cn). From the main results, we provide several applications for such operators.

KW - Block Toeplitz operator

KW - Complex symmetric operator

KW - Conjugation operator

KW - The weighted Hardy space

UR - https://www.scopus.com/pages/publications/85117332535

U2 - 10.1007/s13398-021-01159-4

DO - 10.1007/s13398-021-01159-4

M3 - Article

AN - SCOPUS:85117332535

SN - 1578-7303

VL - 116

JO - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas

JF - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas

IS - 1

M1 - 18

ER -

Conjugations and complex symmetric block Toeplitz operators on the weighted Hardy space

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this