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TOEPLITZ-TYPE OPERATORS ON THE FOCK SPACE Fα2

Tao Yu|Chunxu Xu
대한수학회 (The Korean Mathematical Society)|2023.07|대한수학회보 (Bulletin of the KMS)|제60권 제4호|pp. 957-969|DOI 10.4134/BKMS.b220428

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참고문헌

키워드

compactnessboundednessFock spaceToeplitz-type operators
주제분류수학

초록

Let $j$ be a nonnegative integer. We define the Toeplitz-type operators $T_{a}^{(j)}$ with symbol $a\in L^{\infty}(C)$, which are variants of the traditional Toeplitz operators obtained for $j=0$. In this paper, we study the boundedness of these operators and characterize their compactness in terms of its Berezin transform.

Abstract

Let $j$ be a nonnegative integer. We define the Toeplitz-type operators $T_{a}^{(j)}$ with symbol $a\in L^{\infty}(C)$, which are variants of the traditional Toeplitz operators obtained for $j=0$. In this paper, we study the boundedness of these operators and characterize their compactness in terms of its Berezin transform.

참고문헌 (17)

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