一类BL_p(φ)空间及其内插性质  

A BL_p(φ) Spaces and Its Interpolation

作　　者：韩静[1] 周玛莉[2] 

机构地区：[1]同济大学应用数学系,上海200092 [2]九江学院理学院,江西九江332000

出　　处：《同济大学学报（自然科学版）》2004年第12期1688-1692,共5页Journal of Tongji University:Natural Science

摘　　要：研究了当B ={Lp1 (M ) ,… ,Lpn(M ) ,… }是一串比幂函数增长得快的N函数所生成的Orlicz(奥尔里奇 )函数空间时 ,所成BLp(φ)空间的嵌入性质 ,并得到了其中线性算子的内插定理 .证明了BLp(φ)空间处于两个Orlicz空间的空隙之中 ,这推广了Ba 空间是经典Lebesgue空间和L∞ 空间之“间隙空间”的结论 .The imbedding properties of BL p(φ) spaces are studied in this paper,when B=｛L p 1 (M),…,L p n (M),…｝ is a sequence of Orlicz spaces corresponding to N-functions which increases faster than power functions.And the interpolation theorems of linear operators in BL p(φ) spaces are studied.It is proved that the spaces of BL p(φ) is in the gap of two Orlicz spaces.This fact generalized the known result that the spaces of B a is the “gap spaces” of Lebesgue spaces and the L ∞ space.

关 键 词：奥尔里奇函数空间 Lp(M)空间 BLp(φ)空间 嵌入 内插空间 

分 类 号：O177.2[理学—数学]