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复微分算子下调和映照的单叶半径 被引量:1
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作者 朱剑峰 黄心中 《数学物理学报(A辑)》 CSCD 北大核心 2014年第1期171-178,共8页
设f(z)为定义在单位圆盘D上的调和映照,定义复微分算子L:=z(?)/((?)z)-z(?)/((?)z).该文在f满足系数条件(1.7)下,得到L(f)的单叶半径ρ_0如(1.9)式.进而当f为调和K-拟共形映照时,得到L(f)的单叶半径ρ_K.
关键词 调和映照 拟共形映照 BLOCH常数 Landau定理 复微分算子
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Products of multiplication,composition and differentiation on weighted Bergman spaces in the unit ball
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作者 ZHANG Chao QIN Yuehai 《中山大学学报(自然科学版)(中英文)》 北大核心 2025年第2期160-169,共10页
The boundness and compactness of products of multiplication,composition and differentiation on weighted Bergman spaces in the unit ball are studied.We define the differentiation operator on the space of holomorphic fu... The boundness and compactness of products of multiplication,composition and differentiation on weighted Bergman spaces in the unit ball are studied.We define the differentiation operator on the space of holomorphic functions in the unit ball by radial derivative.Then we extend the Sharma's results. 展开更多
关键词 composition operator multiplication operator differentiation operator weighted Bergman space
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