Hardy operator with variable limits on monotone functions

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Vladimir D. Stepanov, Elena P. Ushakova
Format: Article
Language:English
Published: Wiley 2003-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2003/860547
Tags: Add Tag
No Tags, Be the first to tag this record!

Similar Items