HOLOMORPHIC ORLICZ SPACE ON THE UNIT BALL OF C^n  

作　　者：Xiao Jie(Piking University) 

出　　处：《吉林师范大学学报（自然科学版）》1991年第2期7-13,共7页Journal of Jilin Normal University:Natural Science Edition

基　　金：Supported by the National Ph.D.Foundation,China

摘　　要：Lct B_n bc the unit ball ofσ（n≥1）and H（B_n）be the sct of holomorphic functions f:B_n→σ、Suppose thatΦis a N-function and K_H^?（B_n）,L_h^?（B_n）,E_H^?（B_n）are the holomorphic Orlicz spaceson B_n.In this paper we discuss the cornplctcncss,the density and the harmonic conjugation for thesespaces.Our results generalize ones of Bergman space（（?）∩II）(B_n（p】1）.Let B_n be the unit ball (?) (n≥l) and H(B_n) be the set of holomorpbie functions f: B_n →(?). Suppose that φ is a N-function and K_H~φ (B_n), L_H~φ (B_n), E_H~φ (B_n) are the holooxirphic Orlicz spaces on B_n. In this paper we discuss the completeness, the density and the hannonic conjugation for these spaces. Our results generalize ones of Bergman space ((?)∩Ⅱ)(B_n) (p>1).

关 键 词：N-FUNCTION Holomorphism COMPLETENESS Density Duaity Harmonic CONJUGACY 

分 类 号：N[自然科学总论]