CLASSES OF FOURIER MULTIPLIERS AND BESOV-NIKOLSKIJ SPACES

被引:14
作者
DINTELMANN, P
机构
[1] Technische Hochschule Darmstadt, Fachbereich Mathematik, Darmstadt, D‐64289
关键词
D O I
10.1002/mana.19951730108
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present a discrete characterization of Besov and Triebel spaces which is used to determine various classes Fourier multipliers for these spaces. In particular, results of R. Johnson are recovered.
引用
收藏
页码:115 / 130
页数:16
相关论文
共 18 条
[1]  
Besov O.V., 1967, **DROPPED REF**, V2, P57, DOI DOI 10.1070/SM1967V002N01ABEH002324
[2]  
BESOV OV, 1966, SOV MATH DOKL, V7, P1065
[3]   PARABOLIC MAXIMAL FUNCTIONS ASSOCIATED WITH A DISTRIBUTION [J].
CALDERON, AP ;
TORCHINSKY, A .
ADVANCES IN MATHEMATICS, 1975, 16 (01) :1-64
[4]   PARABOLIC MAXIMAL FUNCTIONS ASSOCIATED WITH A DISTRIBUTION .2. [J].
CALDERON, AP ;
TORCHINSKY, A .
ADVANCES IN MATHEMATICS, 1977, 24 (02) :101-171
[5]  
Dappa H., 1986, BANACH CTR PUBL, V22, P69
[6]  
DAPPA H, 1982, THESIS DARMSTADT
[7]   SOME MAXIMAL INEQUALITIES [J].
FEFFERMAN, C ;
STEIN, EM .
AMERICAN JOURNAL OF MATHEMATICS, 1971, 93 (01) :107-+
[8]   A DISCRETE TRANSFORM AND DECOMPOSITIONS OF DISTRIBUTION SPACES [J].
FRAZIER, M ;
JAWERTH, B .
JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 93 (01) :34-170
[9]  
FRAZIER M, 1991, LITTLEWOOD PALEY THE
[10]   MULTIPLIERS OF HP SPACES [J].
JOHNSON, R .
ARKIV FOR MATEMATIK, 1978, 16 (02) :235-249