对数Bloch型空间上的加权微分复合算子
Weighted Differential Composition Operators on Logarithmic Bloch-Type Space
摘要: 研究单位圆盘上对数Bloch空间上的加权微分复合算子 D φ,u n 为有界算子和紧算子的充要条件。利用待定系数法获得所需的检测函数，得到不同权数对数Bloch型空间上加权微分复合算子的有界算子和紧性的充要条件。
Abstract: This paper studies the necessary and sufficient conditions for the weighted differential composition operator D φ,u n to be bounded and compact on the logarithmic Bloch space over the unit disk. By using the method of undetermined coefficients to obtain the required test function, the necessary and sufficient conditions for the boundedness and compactness of the weighted differential composition operator on different weighted logarithmic Bloch-type space is obtained.
文章引用：鄢有成. 对数Bloch型空间上的加权微分复合算子[J]. 应用数学进展, 2026, 15(9): 273-280. https://doi.org/10.12677/aam.2026.159391

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