一类Mbius不变空间的无导数特征(英文)  

Derivative-free characterizations of a class of Mbius invariant spaces

作　　者：韩金桩[1] 周继振[2] 

机构地区：[1]呼伦贝尔学院数学科学学院,内蒙古呼伦贝尔021008 [2]安徽理工大学理学院,安徽淮南232001

出　　处：《安徽大学学报（自然科学版）》2015年第2期1-7,共7页Journal of Anhui University(Natural Science Edition)

基　　金：Support by Department of Education Funded Projects of Inner Mongolia(NJZY14305);Department of Education Funded Projects of Anhui Province(KJ2013A101)

摘　　要：通过运用Bergman度量,获得了一类Mbius不变的函数空间,即QK(p,p-2)空间的几个等价的无导数刻画,包括双重积分特征、振荡、平均振荡和p-平均振荡刻画.这些特征是QK(p,p-2)空间重要的分析性质,它进一步完善了QK(p,p-2)空间理论,有重要的理论和应用意义.The paper studied a class of Mobius invariant function spaces ,the so called QK （p , p-2）spaces .Some derivative-free characterizations of QK （p ,p-2） spaces were given in terms of the Bergman metric .Those characterizations included the double integral ,mean oscillation and p-mean oscillation .The characterizations were important which enriched the theory of QK （p ,p-2） space .It had important significance in application .

关 键 词：QK(p p-2)空间 双重积分 BERGMAN度量 p-平均振荡 

分 类 号：O174[理学—数学]