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

Department of Mathematics

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

Bibliographical note

Publisher Copyright:
© 2021, The Author(s) under exclusive licence to The Royal Academy of Sciences, Madrid.

Keywords

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

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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.",

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

Abstract

Bibliographical note

Keywords

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