Hyponormal Toeplitz operators on the Bergman space, II

In Sung Hwang; Jongrak Lee

doi:10.4134/BKMS.2007.44.3.517

Hyponormal Toeplitz operators on the Bergman space, II

In Sung Hwang, Jongrak Lee

Department of Mathematics

Sungkyunkwan University

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

10 Scopus citations

Abstract

In this paper we consider the hyponormality of Toeplitz operators T_ℓ on the Bergman space L_α ²(D) with symbol in the case of function f+ḡ with polynomials f and g. We present some necessary conditions for the hyponormality of T_φ under certain assumptions about the coefficients of φ.

Original language	English
Pages (from-to)	517-522
Number of pages	6
Journal	Bulletin of the Korean Mathematical Society
Volume	44
Issue number	3
DOIs	https://doi.org/10.4134/BKMS.2007.44.3.517
State	Published - Aug 2007

Keywords

Bergman space
Hyponormal operators
Toeplits operators

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10.4134/BKMS.2007.44.3.517

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title = "Hyponormal Toeplitz operators on the Bergman space, II",

abstract = "In this paper we consider the hyponormality of Toeplitz operators Tℓ on the Bergman space Lα 2(D) with symbol in the case of function f+ḡ with polynomials f and g. We present some necessary conditions for the hyponormality of Tφ under certain assumptions about the coefficients of φ.",

keywords = "Bergman space, Hyponormal operators, Toeplits operators",

author = "Hwang, \{In Sung\} and Jongrak Lee",

year = "2007",

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doi = "10.4134/BKMS.2007.44.3.517",

language = "English",

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T1 - Hyponormal Toeplitz operators on the Bergman space, II

AU - Hwang, In Sung

AU - Lee, Jongrak

PY - 2007/8

Y1 - 2007/8

N2 - In this paper we consider the hyponormality of Toeplitz operators Tℓ on the Bergman space Lα 2(D) with symbol in the case of function f+ḡ with polynomials f and g. We present some necessary conditions for the hyponormality of Tφ under certain assumptions about the coefficients of φ.

AB - In this paper we consider the hyponormality of Toeplitz operators Tℓ on the Bergman space Lα 2(D) with symbol in the case of function f+ḡ with polynomials f and g. We present some necessary conditions for the hyponormality of Tφ under certain assumptions about the coefficients of φ.

KW - Bergman space

KW - Hyponormal operators

KW - Toeplits operators

UR - https://www.scopus.com/pages/publications/34548612543

U2 - 10.4134/BKMS.2007.44.3.517

DO - 10.4134/BKMS.2007.44.3.517

M3 - Article

AN - SCOPUS:34548612543

SN - 1015-8634

VL - 44

SP - 517

EP - 522

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 3

ER -

Hyponormal Toeplitz operators on the Bergman space, II

Abstract

Keywords

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