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Journal of the London Mathematical Society 1998 57(2):363-370; doi:10.1112/S0024610798006140
© 1998 by London Mathematical Society
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© The London Mathematical Society

Weighted Inequalities for Quasi-Monotone Functions

Lech Maligranda

Department of Mathematics, Luleå University of Technology S-971 87 Luleå, Sweden. E-mail: lech{at}sm.luth.se

Received 20 February 1995. Revision received 17 September 1995.

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≤p≤q<{infty}.


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