INTERPOLATION SPACES BETWEEN THE LIPSCHITZ CLASS AND THE SPACE OF CONTINUOUS-FUNCTIONS

Authors
CWIKEL M MASTYLO M
Citation
M. Cwikel et M. Mastylo, INTERPOLATION SPACES BETWEEN THE LIPSCHITZ CLASS AND THE SPACE OF CONTINUOUS-FUNCTIONS, Proceedings of the American Mathematical Society, 124(4), 1996, pp. 1103-1109
Citations number
14
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
4
Year of publication
1996
Pages
1103 - 1109
Database
ISI
SICI code
0002-9939(1996)124:4<1103:ISBTLC>2.0.ZU;2-N
Abstract
It is shown that the complex interpolation spaces [C([0, 1]), Lip(1)([ 0, 1])](theta) and [C([0, 1]), Lip(1)([0, 1])](theta) do not coincide with Lip(theta)([0, 1]) or lip(theta)([0, 1]) and also that the couple (C, Lip(1)) is not a Calderon couple. Similar results are also obtain ed for the couples (C, Lip(alpha)) and (Lip(alpha),Lip(1)) when alpha is an element of (0, 1).