双圆盘上Hardy-Toeplitz算子的几个问题

Q3 Mathematics

中国科学:数学 Pub Date : 2023-04-01 DOI:10.1360/012012-292

Xuanhao Ding, Zhangyi Wang, Yongning Li

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引用次数: 3

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双圆盘上Hardy-Toeplitz算子的几个问题

Corresponding to harmonic Bergman space, in this paper we study Toeplitz operators of pluriharmonic Hardy space. We find the properties of Toeplitz operators on h 2 ( D 2 ) are greatly different from the classical Hardy space, Bergman space and harmonic Bergman space. For example, two analytic Toeplitz operators maybe not semi-commute or commute. Even if it is semi-commute, neither of both symbols is constant; Even if it is commute, their symbols’ nontrivial linear combination may be not constant. We obtain the necessary and sufficient condition of two analytic Toeplitz operators semi-commute and commute on h 2 ( D 2 ).

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来源期刊

中国科学:数学 Mathematics-Mathematics (all)

CiteScore

1.20

自引率

0.00%

发文量

6663

期刊介绍： Scientia Sinica Mathematica (in Chinese) and (in English) are comprehensive academic journals in mathematics under the auspices of the Chinese Academy of Sciences and co-sponsored by the Chinese Academy of Sciences and the National Natural Science Foundation of China. It mainly reports the important research results in basic mathematics, applied mathematics, computational mathematics and scientific engineering computation, and probability statistics. Published by Science China. Monthly. Chinese edition: online edition published on the 1st of every month, print edition published on the 20th of every month. English: The online version is published on the 20th of the month preceding the month in which the print version is published, and the print version is published on the 1st of the month. The Chinese version of Scientia Sinica Mathematica is indexed in China Science Citation Database, China Academic Journal Network, Chinese Science and Technology Journal Database, China Science Literature Database, China Digital Journals, Chinese Core Journals, Scopus, etc. The English version is an SCI journal.