%0 Journal Article
%T 以拟齐次函数为符号的H-Toeplitz算子与JH-Toeplitz算子<br>H-Toeplitz Operator and JH-Toeplitz Operator with Quasi Homogeneous Functions as Symbols
%A 曹璎元
%A 董玉
%J Pure Mathematics
%P 69-77
%@ 2160-7605
%D 2025
%I Hans Publishing
%R 10.12677/pm.2025.156190
%X 本文研究了调和Bergman空间中的H-Toeplitz算子&#65292;并定义了调和Bergman空间上的JH-Toeplitz算子&#65292;给出了两个以拟齐次函数为符号的H-Toeplitz算子的交换性的充要条件。本文还讨论了以拟齐次函数为符号的H-Toeplitz算子与JH-Toeplitz算子乘积的相关理论。<br>This article studies the H-Toeplitz operator in harmonic Bergman space and defines the JH-Toeplitz operator on harmonic Bergman space. The necessary and sufficient conditions for the commutativity of two H-Toeplitz operators with quasi homogeneous functions as symbols are given. The article also discusses the relevant theories of the product of H-Toeplitz operator and JH-Toeplitz operator with quasi homogeneous functions as symbols.
%K 调和Bergman空间&#65292
%K H-Toeplitz算子&#65292
%K JH-Toeplitz算子&#65292
%K 交换性<br>Harmonic Bergman space
%K H-Toeplitz Operator
%K JH-Toeplitz Operator
%K Interchangeability
%K Quasi Commutativity
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=118033