球上从μ-Bloch空间到加权Bergman空间上的复合算子  

Composition operators from μ-Bloch type spaces to weighted Bergman spaces of the ball

作　　者：杜磊 DU Lei(College of Science,Kunming University of Science and Technology,Kunming 650093 , China)

机构地区：[1]昆明理工大学理学院,云南昆明650093

出　　处：《陕西理工大学学报（自然科学版）》2018年第6期89-92,共4页Journal of Shaanxi University of Technology:Natural Science Edition

摘　　要：旨在研究单位球上从μ-Bloch空间到加权Bergman空间上复合算子的有界性和紧致性。运用单位球上加权Bergman空间和定权Sobolev空间之间的模等价,给出了单位球上从μ-Bloch空间到加权Bergman空间上复合算子满足有界性或紧致性的充分条件。The purpose of this paper is to study the boundedness and compactness of the composition operator fromμ-Bloch spaces to the weighted Bergman spaces of the unit ball.In this paper,we apply the norm equivalence between weighted Bergman spaces and certain weighted Sobolev of the unit ball,and give the sufficient conditions of the boundness and compactness of composition operators fromμ-Bloch spaces to the weighted Bergman spaces of the unit ball.

关 键 词：Μ-BLOCH空间 BERGMAN空间 复合算子 模等价 

分 类 号：O174.5[理学—数学]