Block dual Toeplitz operators on the orthogonal complement of the Dirichlet space

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2024-03-11 DOI:10.1007/s43034-024-00329-w

Chunxu Xu, Jianxiang Dong, Tao Yu

引用次数: 0

Abstract

We give some characterizations of block dual Toeplitz operators acting on the orthogonal complement of the Dirichlet space. We characterized the compactness of the finite sum of block dual Toeplitz products. Commuting block dual Toeplitz operators and quasinormal block dual Toeplitz operators are also considered.

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迪里希勒空间正交补集上的整块对偶托普利兹算子

我们给出了作用于 Dirichlet 空间正交补集的块对偶 Toeplitz 算子的一些特征。我们描述了块对偶托普利兹积的有限和的紧凑性。我们还考虑了共相块对偶托普利兹算子和准正常块对偶托普利兹算子。

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

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.