Czechoslovak Mathematical Journal

Czechoslovak Mathematical Journal, Vol. 73, No. 4, pp. 1119-1130, 2023

Kernels of Toeplitz operators on the Bergman space

Young Joo Lee

Received September 17, 2022. Published online October 12, 2023.

Abstract: A Coburn theorem says that a nonzero Toeplitz operator on the Hardy space is one-to-one or its adjoint operator is one-to-one. We study the corresponding problem for certain Toeplitz operators on the Bergman space.

Keywords: Toeplitz operator; Bergman space

Classification MSC: 47B35, 32A36

DOI: 10.21136/CMJ.2023.0402-22

PDF available at: Springer Institute of Mathematics CAS Digital Mathematics Library

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Affiliations: Young Joo Lee, Department of Mathematics, Chonnam National University, 77 Yongbong-ro, Buk-gu, Gwangju, 61186, South Korea, e-mail: leeyj@chonnam.ac.kr

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