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Elementary reverse Hölder type inequalities with application to operator interpolation theory |
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| Authors: | Jesú s Bastero Francisco J. Ruiz |
| Affiliation: | Department of Mathematics, University of Zaragoza, 50009-Zaragoza, Spain ; Department of Mathematics, University of Zaragoza, 50009-Zaragoza, Spain |
| Abstract: | We give a very elementary proof of the reverse Hölder type inequality for the classes of weights which characterize the boundedness on  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. |
| Keywords: | Hardy operator weighted norm inequalities Lorentz spaces interpolation of operators |
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