F-代数N_p和N_p~*上的复合算子Composition operators on F-algebra N_p and N_p~*
姜立健
摘要(Abstract):
给出了在 F-代数 Np 和 N*p 上的复合算子为紧的充要条件。
关键词(KeyWords): 函数空间;Carleson测度;复合算子
基金项目(Foundation): 国家自然科学基金资助项目 ( 199710 91)
作者(Author): 姜立健
参考文献(References):
- [1] StollM.Mean growth andTaylor coefficients of some topological algebra of analytic functions[J].Ann.Polon.Math,1977,35:139-158
- [2] DurenP L.Theory ofHp spaces[M].AcademicPress,1970
- [3] ShapiroJH,ShieldsA L.Unusual topological properties of theNevanlinna class[J].Amer.J.Math.1976,97:915-936
- [4] AulaskariR,GirelaD,HasiWulan.Qp spaces,Hadamard products andCarleson measure(to appear)
- [5] MacCluerB D.Compact composition operators on(Hp)(BN)[J].MichiganMath.J.1985,32:37-248
- [6] TsujiM.Potential theory in modern function theory[M].NewYork:ChelseaPublishingCo.1975
- [7] JarchowH,XiaoJ.Composition operators betweenNevanlinna classes andBergman spaces withweights(to appear)
- [8] ZhuK.OperatorTheory inFunctionSpaces[M].NewYork:Dekker,1990
- [9] XiaoJ.Compact composition operators on the area-NevanlinnaClass[J].Expo.Math.1999,17:255-264