%0 Journal Article
%T Hardy operator with variable limits on monotone functions
%A Vladimir D. Stepanov
%A Elena P. Ushakova
%J Journal of Function Spaces and Applications
%D 2003
%I Hindawi Publishing Corporation
%R 10.1155/2003/860547
%X We characterize weighted Lp-Lq inequalities with the Hardy operator of the form Hf(x)=∫a(x)b(x)f(y)u(y) dy with a non-negative weight function u, restricted to the cone of monotone functions on the semiaxis. The proof is based on the Sawyer criterion and the boundedness of generalized Hardy operator with variable limits.
%U http://www.hindawi.com/journals/jfsa/2003/860547/abs/