Bergman空间的复插值空间及其应用  

Complex Interpolations for Bergman Spaces and Their Applications

作　　者：郭芸昀 沈芳宁 吕小芬[1] GUO Yunyun;SHEN Fangning;LYU Xiaofen(School of Science,Huzhou University,Huzhou 313000,China)

机构地区：[1]湖州师范学院理学院,浙江湖州313000

出　　处：《湖州师范学院学报》2020年第2期5-8,共4页Journal of Huzhou University

基　　金：National Natural Science Foundation of China(11771139);National Natural Science Foundation of Zhejiang Province(LY20A010008);“Xinmiao”Projection for the undergraduate students of Zhejiang Province(2019R431003).

摘　　要：利用复变函数、泛函分析等知识研究指数型Bergman空间A pφ的复插值空间.作为应用,得到了Berezin变换在Lebesgue空间L p上的有界性.In this paper,we discuss the complex interpolations for Bergman space with exponential weights A pφusing the knowledge of Complex Functions and Functional Analysis.As an application,the boundedness of Berezin transforms on Lebesgue space L p is obtained.

关 键 词：指数型Bergman空间 复插值空间 BEREZIN变换 

分 类 号：O177[理学—数学]