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Bloch型空间到调和权Dirichlet型空间的复合算子

Composition Operators from Bloch Type Spaces to Harmonically Weighted Dirichlet Spaces
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摘要 讨论Bloch型空间到调和权Dirichlet型空间的复合算子的有界性、紧性和本性范数,得到此类算子的有界性、紧性和本性范数的充分必要条件. The boundedness, compactness and essential norm of composition operators from Bloch type spaces to Harmonically Weighted Dirichlet spaces are discussed in this paper. Some sufficient and necessary conditions for the boundedness, compactness and essential norm of these operators are obtained as well.
作者 刘佐灵 LIU Zuoling(College of Science, Shantou University, Shantou 515063, Guangdong, China)
机构地区 汕头大学理学院
出处 《汕头大学学报(自然科学版)》 2019年第2期37-46,共10页 Journal of Shantou University:Natural Science Edition
基金 国家自然科学基金资助项目(11720101003) 广东省自然科学基金资助项目(2018A030313512)
关键词 BLOCH型空间 调和权Dirichlet型空间 复合算子 Bloch type space Harmonically Weighted Dirichlet spaces composition operator
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