数学杂志Issue(4):917-926,10.
调和Dirichlet 空间上Toeplitz 算子与小Hankel 算子的交换性
COMMUTATIVITY OF TOEPLITZ OPERATOR AND SMALL HANKEL OPERATOR ON HARMONIC DIRICHLET SPACE
摘要
Abstract
In this paper, we study the commutativity of Toeplitz operator and small Hankel operator on harmonic Dirichlet space. By the matrix representation of Toeplitz operator and small Hankel operator, we obtain the necessity and sufficient condition for Toeplitz operator and small Hankel operator on harmonic Dirichlet space to be commutativity, which extends the corresponding results on Dirichlet space.关键词
调和Dirichlet空间/Toeplitz算子/小Hankel算子/交换性Key words
harmonic Dirichlet space/Toeplitz operator/small Hankel operator/commuta-tivity分类
数理科学引用本文复制引用
冯丽霞,麻文芳,赵连阔..调和Dirichlet 空间上Toeplitz 算子与小Hankel 算子的交换性[J].数学杂志,2015,(4):917-926,10.基金项目
山西省青年科技研究基金资助(2010021002-2) (2010021002-2)
国家自然科学基金资助(11201274) (11201274)