article · Pure Mathematics · 2025

H-Toeplitz Operator and JH-Toeplitz Operator with Quasi Homogeneous Functions as Symbols

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Abstract

本文研究了调和Bergman空间中的H-Toeplitz算子，并定义了调和Bergman空间上的JH-Toeplitz算子，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。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.

Cite this paper

APA 7

曹, 璎. (2025). H-Toeplitz Operator and JH-Toeplitz Operator with Quasi Homogeneous Functions as Symbols. Pure Mathematics, 15(06), 69–77. https://doi.org/10.12677/pm.2025.156190

MLA 9

曹, 璎元. “H-Toeplitz Operator and JH-Toeplitz Operator with Quasi Homogeneous Functions as Symbols.” Pure Mathematics, vol. 15, no. 06, 2025, pp. 69–77, https://doi.org/10.12677/pm.2025.156190.

Chicago

曹, 璎元. 2025. “H-Toeplitz Operator and JH-Toeplitz Operator with Quasi Homogeneous Functions as Symbols.” Pure Mathematics 15 (06): 69–77. https://doi.org/10.12677/pm.2025.156190.

Harvard

曹, 璎. (2025) ‘H-Toeplitz Operator and JH-Toeplitz Operator with Quasi Homogeneous Functions as Symbols’, Pure Mathematics, 15(06), pp. 69–77. Available at: https://doi.org/10.12677/pm.2025.156190.

BibTeX

@article{anon2025toeplitz,
  title = {{H-Toeplitz Operator and JH-Toeplitz Operator with Quasi Homogeneous Functions as Symbols}},
  author = {曹, 璎元},
  journal = {Pure Mathematics},
  volume = {15},
  number = {06},
  pages = {69--77},
  year = {2025},
  doi = {10.12677/pm.2025.156190}
}

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