Elementary reverse Hölder type inequalities with application to operator interpolation theory
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- by Jesús Bastero and Francisco J. Ruiz PDF
- Proc. Amer. Math. Soc. 124 (1996), 3183-3192 Request permission
Abstract:
We give a very elementary proof of the reverse Hölder 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 Calderón operator involved in the theory of interpolation for general Lorentz spaces. This allows us to obtain further consequences for intermediate interpolation spaces.References
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Additional Information
- Jesús Bastero
- Affiliation: Department of Mathematics, University of Zaragoza, 50009-Zaragoza, Spain
- Email: bastero@posta.unizar.es
- Francisco J. Ruiz
- Affiliation: Department of Mathematics, University of Zaragoza, 50009-Zaragoza, Spain
- Email: fjruiz@posta.unizar.es
- Received by editor(s): May 22, 1993
- Received by editor(s) in revised form: April 10, 1995
- Additional Notes: The first author was partially supported by DGICYT PS90-0120
The second author was partially supported by DGICYT PS89-0181 and DGICYT PS93-0228-C02-02. - Communicated by: J. Marshall Ash
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 3183-3192
- MSC (1991): Primary 46E30, 46B70
- DOI: https://doi.org/10.1090/S0002-9939-96-03651-9
- MathSciNet review: 1363446