Open Access
October 2014 Reiteration theorems with extreme values of parameters
Pedro Fernández-Martínez, Teresa Signes
Author Affiliations +
Ark. Mat. 52(2): 227-256 (October 2014). DOI: 10.1007/s11512-014-0201-z

Abstract

We consider real interpolation methods defined by means of slowly varying functions b and symmetric spaces E, for which we present extreme reiteration theorems. As an application we identify, for all possible values of θ∈[0,1], the interpolation spaces (L1, LlogL)θ, b, E and (Lexp, L)θ, b, E.

Funding Statement

This work was supported by the Spanish Ministerio de Economía y Competitividad (MTM2010-15814) and Fundación Séneca de la Región de Murcia 08791/PI/08.

Citation

Download Citation

Pedro Fernández-Martínez. Teresa Signes. "Reiteration theorems with extreme values of parameters." Ark. Mat. 52 (2) 227 - 256, October 2014. https://doi.org/10.1007/s11512-014-0201-z

Information

Received: 3 December 2012; Published: October 2014
First available in Project Euclid: 30 January 2017

zbMATH: 1321.46021
MathSciNet: MR3255139
Digital Object Identifier: 10.1007/s11512-014-0201-z

Rights: 2014 © Institut Mittag-Leffler

Vol.52 • No. 2 • October 2014
Back to Top