Journal of Function Spaces

Journal of Function Spaces / 2003 / Article

Open Access

Volume 1 |Article ID 860547 |

Vladimir D. Stepanov, Elena P. Ushakova, "Hardy operator with variable limits on monotone functions", Journal of Function Spaces, vol. 1, Article ID 860547, 15 pages, 2003.

Hardy operator with variable limits on monotone functions

Academic Editor: Lars-Erik Persson
Received01 Feb 2003


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.

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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