Embeddings for Morrey-Lorentz Spaces

被引:61
作者
Ragusa, Maria Alessandra [1 ]
机构
[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy
关键词
Rearrangement functions; Lorentz spaces; Morrey spaces; Holder inequality; DIFFERENTIAL-OPERATORS;
D O I
10.1007/s10957-012-0012-y
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper, new classes of functions are defined. These spaces generalize Lorentz spaces and give a refinement of Lebesgue spaces, weak-Lebesgue spaces, and Morrey spaces. Some embeddings between these new classes are also proved.
引用
收藏
页码:491 / 499
页数:9
相关论文
共 31 条
[11]   A maximal theorem with function-theoretic applications [J].
Hardy, GH ;
Littlewood, JE .
ACTA MATHEMATICA, 1930, 54 (01) :81-116
[12]  
Hardy H, 1934, INEQUALITIES
[13]  
Hunt R. A., 1964, P AM MATH SOC, V15, P996, DOI 10.2307/2034925
[14]  
KRBEC M, 1997, GEORGIAN MATH J, V4, P117
[15]  
Krein S. G., 1982, TRANSLATION MATH MON, V54
[16]  
Krein S. G., 1966, USPEKHI MAT NAUK, V21, P89
[17]  
Lorentz G G., 1951, PAC J MATH, V1, P411, DOI 10.2140/pjm.1951.1.411
[18]   SOME NEW FUNCTIONAL SPACES [J].
LORENTZ, GG .
ANNALS OF MATHEMATICS, 1950, 51 (01) :37-55
[19]  
Luxemburg W. A. J., 1967, Proc. Symp. Analysis, Queens Univ. 1967, V10, P83
[20]  
Magenes E., 1963, ATT C UN MAT IT GEN, P194