Calderón constants of finite-dimensional couples

Israel Journal of Mathematics

Volumn 101, Issue , 1997, Pages 289-322

  Brudnyi, Yuri ^a   Shteinberg, Alexander ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040652253     PISSN: 00212172     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02760933     Document Type: Article

References (15)

1. T. Bychkova, Couples without C-properties, in Investigations in the Theory of Functions of Several Variables, Yaroslavl, 1990, pp. 48-51 (in Russian).
2. Y. Brudnyi and N. Krugljak, Interpolation Functors and Interpolation Spaces, North-Holland, Amsterdam-New York-Oxford-Tokyo, 1992, 718 pp.
3. J. Bergh and J. Löfström, Interpolation Spaces. An Introduction, Grundlehren der Mathematishe Wissenschaften 223, Springer, Berlin-Heidelberg-New York, 1976, pp. 1-202.
4. Y. Brudnyi and A. Shteinberg, Calderón couples of Lipschitz spaces, Journal of Functional Analysis 131 (1995), 459-498.
5. ∞ and the theorems of Marcinkiewicz, Studia Mathematica 26 (1966), 273-299.
6. M. Cwikel, Monotonicity properties of interpolation spaces II. Arkiv für Matematik 19 (1981), 123-136.
7. M. Cwikel and M. Mastylo, Interpolation spaces between the Lipschitz class and the space of continuous functions, Proceedings of the American Mathematical Society 124 (1996), 1103-1110.
8. M. Cwikel and P. Nilsson, Interpolation of weighted Banach lattices, Memoirs of the American Mathematical Society (to appear).
9. N. J. Kalton, Calderón couples of rearrangement invariant spaces, Studia Mathematica 106 (1993), 233-277.
10. 1, Comptes Rendus de l'Académie des Sciences, Paris, Série A 284 (1977), 377-379.
11. B. S. Mitiagin, An interpolation theorem for modular spaces, Matematicheskii Sbornik 66 (1965), 473-482 (in Russian).
12. J. Peetre, Exact interpolation theorems for Lipschitz continuous functions, Ricerche di Matematica 18 (1969), 239-259.
13. α1) and some related problems, Doklady Akademii Nauk SSSR 209 (1973), 799-800 (in Russian).
14. p-spaces, Studia Mathematica 62 (1978), 229-271.
15. A. A. Sedaev and E. M. Semenov, On the possibility of describing interpolation spaces in terms of Peetre's K-method, Optimizaciya 4 (1971), 98-114 (in Russian).