On the connection between real and complex interpolation of quasi-Banach spaces

被引:22
作者
Cobos, F [1 ]
Peetre, J
Persson, LE
机构
[1] Univ Complutense Madrid, Fac Matemat, Dept Anal Matemat, E-28040 Madrid, Spain
[2] Univ Lund, Inst Matemat, S-22100 Lund, Sweden
[3] Univ Lulea, Dept Math, S-97187 Lulea, Sweden
来源
BULLETIN DES SCIENCES MATHEMATIQUES | 1998年 / 122卷 / 01期
关键词
D O I
10.1016/S0007-4497(98)80075-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We describe a new approach to interpolate by the complex method quasiBanach couples formed by real-intermediate spaces. End-point cases are also considered, and applications are given to function spaces and to operator spaces. (C) Elsevier, Paris.
引用
收藏
页码:17 / 37
页数:21
相关论文
共 14 条
[1]  
Bergh J., 1976, INTERPOLATION SPACES
[2]   COMPLEX INTERPOLATION OF QUASI-BANACH SPACES WITH AN A-CONVEX CONTAINING SPACE [J].
BERNAL, A ;
CERDA, J .
ARKIV FOR MATEMATIK, 1991, 29 (02) :183-201
[3]   SCHATTEN-VONNEUMANN CLASSES OF MULTILINEAR FORMS [J].
COBOS, F ;
KUHN, T ;
PEETRE, J .
DUKE MATHEMATICAL JOURNAL, 1992, 65 (01) :121-156
[4]  
CWICKEL M, 1986, J FUNCT ANAL, V65, P339
[5]   RELATIONS BETWEEN REAL AND COMPLEX INTERPOLATION SPACES [J].
CWIKEL, M ;
SAGHER, Y .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1987, 36 (04) :905-912
[6]   INTERPOLATION BETWEEN HP SPACES - REAL METHOD [J].
FEFFERMAN, C ;
RIVIERE, NM ;
SAGHER, Y .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 191 (464) :75-81
[7]   INTERPOLATION BETWEEN HP SPACES - THE COMPLEX METHOD [J].
JANSON, S ;
JONES, PW .
JOURNAL OF FUNCTIONAL ANALYSIS, 1982, 48 (01) :58-80
[9]   LOCALLY ANALYTICALLY PSEUDO-CONVEX TOPOLOGICAL VECTOR-SPACES [J].
PEETRE, J .
STUDIA MATHEMATICA, 1982, 73 (03) :253-262
[10]  
Pietsch A., 1987, EINGENVALUES S NUMBE