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数学与物理
理论数学
Vol. 14 No. 10 (October 2024)
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调和Besov空间的一些刻画
Some Characterizations of Harmonic Besov Space
DOI:
10.12677/pm.2024.1410337
,
PDF
,
被引量
作者:
郑 帅
:贵州师范大学数学科学学院,贵州 贵阳
关键词:
调和映射
;
Bergman度量
;
调和Besov空间
;
Harmonic Mapping
;
Bergman Metric
;
Harmonic Besov Spaces
摘要:
本文得到了调和Besov空间中函数的泰勒系数增长性的一个估计,也证明了调和Besov空间中的函数关于Bergman度量是Lipschitz连续的。
Abstract:
In this paper, we obtain an estimate of the growth of the Taylor coefficient of functions in harmonic Besov spaces and prove that functions in harmonic Besov spaces are Lipschitz continuous with respect to the Bergman metric.
文章引用:
郑帅. 调和Besov空间的一些刻画[J]. 理论数学, 2024, 14(10): 1-6.
https://doi.org/10.12677/pm.2024.1410337
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