Sobolev-Besov spaces of measurable functions

被引：17
作者：
Triebel, Hans [1 ]
机构：
[1] Univ Jena, Math Inst, Fak Math & Informat, D-07737 Jena, Germany
来源：
STUDIA MATHEMATICA | 2010年 / 201卷 / 01期
关键词：
Sobolev spaces; Besov spaces; embedding; real interpolation; DILATION OPERATORS; METRIC-SPACES; POINCARE; RD;
D O I：
10.4064/sm201-1-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper deals with spaces L-p(s)(R-n) of Sobolev type where s > 0, 0 < p <= infinity, and their relations to corresponding spaces B-p,q(s)(R-n) of Besov type where s > 0, 0 < p <= infinity, 0 < q <= infinity, in terms of embedding and real interpolation.
引用
收藏
页码：69 / 86
页数：18
相关论文
共 41 条
[1]  
[Anonymous], 1969, APPROXIMATION FUNCTI
[2]  
[Anonymous], 1977, Approximation of Multivariate Functions and Embedding Theorems
[3]  
[Anonymous], 2006, THEORY FUNCTION SPAC
[4]  
[Anonymous], 1989, GRADUATE TEXTS MATH
[5]  
Besov O.V., 1996, Integral Representations of Functions and Embedding Theorems
[6]  
Besov OV., 1975, Integral Representations of Functions and Imbedding Theorems
[7]  
Bojarski B, 2002, INDIANA U MATH J, V51, P507
[8]  
BOJARSKI B, 1993, STUD MATH, V106, P77
[9]  
Bojarski B., 2007, UKR MATH J, V59, P379
[10]  
Bojarski B., 2006, P STEKLOV I MATH, V255, P65
12345