On invariant function spaces H_(Q_p)~q(R)  

作　　者：CHEN HuaiHui AULASKARI Rauno 

机构地区：[1]Department of Mathematics, Nanjing Normal University [2]Department of Physics and Mathematics, University of Eastern Finland

出　　处：《Science China Mathematics》2013年第10期1999-2006,共8页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.11071083)

摘　　要：New function spaces,which generalize the classical Dirichlet space,BMOA or also the recently defined Qpspace,are introduced on Riemann surfaces.Except inclusions between these generalized spaces it is shown that the capacity Bloch space is a maximal space for them.New function spaces, which generalize the classical Dirichlet space, BMOA or also the recently defined Qp space, are introduced on Riemann surfaces. Except inclusions between these generalized spaces it is shown that the capacity Bloch space is a maximal space for them.

关 键 词：Riemann surface Green＇s function invariant function space 

分 类 号：O177[理学—数学]