© 1998 by London Mathematical Society
© The London Mathematical Society
Weighted Inequalities for Quasi-Monotone Functions
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<
.