L(P)-L(Q) ESTIMATES OFF THE LINE OF DUALITY

Authors
BAK JG MCMICHAEL D OBERLIN D
Citation
Jg. Bak et al., L(P)-L(Q) ESTIMATES OFF THE LINE OF DUALITY, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 58, 1995, pp. 154-166
Citations number
19
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
58
Year of publication
1995
Part
2
Pages
154 - 166
Database
ISI
SICI code
0263-6115(1995)58:<154:LEOTLO>2.0.ZU;2-R
Abstract
Theorems 1 and 2 are known results concerning L(p)-L(q) estimates for certain operators wherein the point (1/p, 1/q) lies on the line of dua lity 1/p + 1/q = 1. In Theorems 1' and 2' we show that with mild addit ional hypotheses it is possible to prove L(p)-L(q) estimates for indic es (1/p, 1/q) off the line of duality. Applications to Bochner-Riesz m eans of negative order and uniform Sobolev inequalities are given.