UL'YANOV-TYPE INEQUALITIES AND EMBEDDINGS BETWEEN BESOV SPACES: THE CASE OF PARAMETERS WITH LIMIT VALUES

被引:4
作者
Dominguez, Oscar [1 ]
机构
[1] Univ Complutense Madrid, Dept Anal Matemat, Fac Matemat, Plaza Ciencias 3, E-28040 Madrid, Spain
来源
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2017年 / 20卷 / 03期
关键词
Modulus of smoothness; K-functionals; Ul'yanov-type inequalities; generalized Lorentz-Zygmund spaces; Besov spaces; embedding theorems; DOUBLE EXPONENTIAL INTEGRABILITY; REAL INTERPOLATION; APPROXIMATION; OPERATORS; SMOOTHNESS;
D O I
10.7153/mia-20-48
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we obtain some limit cases of inequalities of Ul'yanov-type for modulus of smoothness between Lorentz-Zygmund spaces on T-n. Corresponding embedding theorems for the Besov spaces are investigated.
引用
收藏
页码:755 / 772
页数:18
相关论文
共 41 条
[1]  
[Anonymous], 1976, GRUNDLEHREN MATH WIS
[2]  
[Anonymous], 2004, HARDY OPERATORS FUNC, DOI DOI 10.1007/978-3-662-07731-3
[3]  
Bennett C., 1980, Diss. Math, V175, P1
[4]  
Bennett C., 1988, Interpolation of operators
[5]  
Brezis H., 1980, COMMUN PART DIFF EQ, V5, P773, DOI 10.1080/03605308008820154
[6]   BEST TRIGONOMETRIC APPROXIMATION, FRACTIONAL ORDER DERIVATIVES AND LIPSCHITZ CLASSES [J].
BUTZER, PL ;
DYCKHOFF, H ;
GORLICH, E ;
STENS, RL .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1977, 29 (04) :781-793
[7]   Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness [J].
Caetano, Antonio M. ;
Gogatishvili, Amiran ;
Opic, Bohumir .
JOURNAL OF APPROXIMATION THEORY, 2011, 163 (10) :1373-1399
[8]   On the Relationship Between Two Kinds of Besov Spaces with Smoothness Near Zero and Some Other Applications of Limiting Interpolation [J].
Cobos, Fernando ;
Dominguez, Oscar .
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2016, 22 (05) :1174-1191
[9]   On Besov spaces of logarithmic smoothness and Lipschitz spaces [J].
Cobos, Fernando ;
Dominguez, Oscar .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 425 (01) :71-84
[10]   Embeddings of Besov spaces of logarithmic smoothness [J].
Cobos, Fernando ;
Dominguez, Oscar .
STUDIA MATHEMATICA, 2014, 223 (03) :193-204