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边界乘子和Toeplitz算子关联的解析Morrey空间
钱睿深¹, 杨鎏²
1.岭南师范学院数学与统计学院, 广东湛江 524048;2.陕西学前师范学院数学系, 陕西西安 710100

摘要:

本文利用Hardy空间的性质和初等计算，研究了解析Moerry空间的边界值与边界值乘子，也研究了作用在Hardy空间到解析Moerry空间上的Toeplitz算子问题.对于上述问题，我们都给出了相应的等价刻画.

关键词: 边界乘子 Toeplitz算子 Hardy空间 Moerry空间

DOI：

分类号:O174.5

基金项目:Supported by National Natural Science Foundation of China (11371234; 11571217; 11471202) and Lingnan Normal University of China (1170917016).

BOUNDARY MULTIPLIES AND TOEPLITZ OPERATORS ASSOCIATED WITH ANALYTIC MORREY SPACES

QIAN Rui-shen¹, YANG Liu²

1.School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang 524048, China;2.Department of Mathematics, Shaanxi Xueqian Normal University, Xi'an 710100, China

Abstract:

In this paper, by using Hardy space's properties and elementary calculations, we study boundary characterization and boundary multipliers of analytic Moerry space, and Toeplitz operators acting on Hardy space to analytic Moerry space are also investigated. For the above questions, the necessary and sufficient conditions are obtained.

Key words: boundary multiplies Toeplitz operators Hardy spaces Morrey spaces