Abstract
We study the optimal bounds for the Hardy operator S minus the identity, as well as S and its dual operator S∗, on the full range 1≤p≤∞, for the cases of decreasing, positive or general functions (in fact, these two kinds of inequalities are equivalent for the appropriate cone of functions). For 1<p≤2, we prove that all these estimates are the same, but for 2<p<∞, they exhibit a completely different behavior.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
