Some classical function systems in separable Orlicz spaces

被引：0
作者：
Finet, C [1 ]
Tkebuchava, GE [1 ]
机构：
[1] TBILISI STATE UNIV, GE-380028 TBILISI, GEORGIA
来源：
STUDIA MATHEMATICA | 1996年 / 121卷 / 02期
关键词：
Fourier; Fourier-Walsh series; Paley function; Haar system; separable Orlicz; space;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The boundedness of (sub)sequences of partial Fourier and Fourier-Walsh sums in subspaces of separable Orlicz spaces is studied. The boundedness of the shift operator and Paley function with respect to the Haar system is also investigated. These results are applied to get the analogues of the classical theorems on basicness of the trigonometric and Walsh systems in nonreflexive separable Orlicz spaces.
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页码：193 / 205
页数：13
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