WEIGHTED INEQUALITIES FOR GEOMETRIC MEANS

Authors
OPIC B GURKA P
Citation
B. Opic et P. Gurka, WEIGHTED INEQUALITIES FOR GEOMETRIC MEANS, Proceedings of the American Mathematical Society, 120(3), 1994, pp. 771-779
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
120
Issue
3
Year of publication
1994
Pages
771 - 779
Database
ISI
SICI code
0002-9939(1994)120:3<771:WIFGM>2.0.ZU;2-Y
Abstract
A characterization of weights u, v is given for which the geometric me an operator Tf(x) = exp(1/x integral-x/0 fox In f(t) dt) , defined for f positive a.e. on (0, infinity) , is bounded from L(p)((0, infinity) ; v dx) to L(q)((0, infinity); u dx), p is-an-element-of (0, infinity) and q is-an-element-of [p, infinity).