Block dual Toeplitz Operators on the Orthogonal Complements of Fock Spaces

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2024-05-20 DOI:10.1007/s10114-024-2587-2

Jian Xiang Dong, Chun Xu Xu, Yu Feng Lu

引用次数: 0

Abstract

In this paper, we characterize the boundedness and compactness of the block dual Toeplitz operators acting on the orthogonal complement of the Fock spaces, and the compactness of the finite sum of two dual Toeplitz operators products. The commutator and semi-commutator induced by the block dual Toeplitz operators are considered.

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福克空间正交补集上的整块对偶托普利兹算子

本文描述了作用于 Fock 空间正交补集的块对偶托普利兹算子的有界性和紧凑性，以及两个对偶托普利兹算子乘积的有限和的紧凑性。研究还考虑了块对偶托普利兹算子诱导的换元子和半换元子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.