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WEIGHTED INEQUALITIES FOR QUASI-MONOTONE FUNCTIONS

Published online by Cambridge University Press:  01 April 1998

LECH MALIGRANDA
Affiliation:
Department of Mathematics, Luleå University of Technology, S-971 87 Luleå, Sweden. E-mail: [email protected]
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Abstract

The purpose of this paper is to give characterizations of weights for which reverse inequalities of Hölder type for quasi-monotone functions are satisfied. Our inequalities with general weights and with sharp constants complement the results of [2, 8, 9] and [16, 17] for the values of parameters p and q with 1[les ]p[les ]q<∞.

Type
Notes and Papers
Copyright
The London Mathematical Society 1998

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