ON A THEOREM OF F. RIESZ

被引:0
作者
Bang, H. H. [1 ]
机构
[1] Vietnamese Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet St, Hanoi, Vietnam
关键词
measure; Orlicz space; Lorentz space; SPACES;
D O I
10.1007/s10474-015-0574-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a theorem of Riesz characterizing the convergence in spaces of functions N-Phi generated by concave functions Phi.
引用
收藏
页码:360 / 369
页数:10
相关论文
共 12 条
[1]   Generalizations of the Riesz convergence theorem for Lorentz spaces [J].
Bang, HH ;
Cong, NM .
ACTA MATHEMATICA HUNGARICA, 2005, 106 (04) :331-341
[2]  
Halmos PR., 1974, Measure Theory
[3]  
Lorentz G. G., 1961, Proc. Amer. Math. Soc., V12, P127, DOI 10.1090/S0002-9939-1961-0123182-3
[4]   SOME NEW FUNCTIONAL SPACES [J].
LORENTZ, GG .
ANNALS OF MATHEMATICS, 1950, 51 (01) :37-55
[5]  
ONEIL R, 1963, DUKE MATH J, V30, P120
[6]  
RAO MM, 1995, THEORY ORLICZ SPACES
[7]  
Riesz F., 1928, ACTA SCI MATH, V4, P182
[8]  
Riesz F., 1928, Acta Sci. Math. (Szeged), V4, P58
[9]  
SARGENT WLC, 1961, P LOND MATH SOC, V11, P457
[10]  
Sargent WLC., 1960, J. London Math. Soc, V1, P161, DOI DOI 10.1112/JLMS/S1-35.2.161