ELEMENTARY REVERSE HOLDER TYPE INEQUALITIES WITH APPLICATION TO OPERATOR INTERPOLATION THEORY

Authors
BASTERO J RUIZ FJ
Citation
J. Bastero et Fj. Ruiz, ELEMENTARY REVERSE HOLDER TYPE INEQUALITIES WITH APPLICATION TO OPERATOR INTERPOLATION THEORY, Proceedings of the American Mathematical Society, 124(10), 1996, pp. 3183-3192
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
10
Year of publication
1996
Pages
3183 - 3192
Database
ISI
SICI code
0002-9939(1996)124:10<3183:ERHTIW>2.0.ZU;2-Y
Abstract
We give a very elementary proof of the reverse Holder type inequality for the classes of weights which characterize the boundedness on L(p) of the Hardy operator for nonincreasing functions. The same technique is applied to Calderon operator involved in the theory of interpolatio n for general Lorentz spaces. This allows us to obtain further consequ ences for intermediate interpolation spaces.