Some remarks on multilinear maps and interpolation

Authors
Grafakos, L Kalton, N
Citation
L. Grafakos et N. Kalton, Some remarks on multilinear maps and interpolation, MATH ANNAL, 319(1), 2001, pp. 151-180
Citations number
20
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE ANNALEN
ISSN journal
00255831 → ACNP
Volume
319
Issue
1
Year of publication
2001
Pages
151 - 180
Database
ISI
SICI code
0025-5831(200101)319:1<151:SROMMA>2.0.ZU;2-P
Abstract
A multilinear version of the Boyd interpolation theorem is proved in the co ntext of quasi-normed rearrangement-invariant spaces. A multilinear Marcink iewicz interpolation theorem is obtained as a corollary. Several applicatio ns are given, including estimates for bilinear fractional integrals.