Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-10T20:42:31.421Z Has data issue: false hasContentIssue false
  • English
  • Français

Cases of equality and strict inequality in the extended Hardy–Littlewood inequalities*

Published online by Cambridge University Press:  12 July 2007

Hichem Hajaiej
Hichem Hajaiej
Affiliation:
IACS–FSB, Section de Mathématiques, EPFL, CH-1015 Lausanne, Switzerland ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

Extended Hardy-Littlewood inequalities are where {ui}1≤i≤m are non-negative functions and denote their Schwarz symmetrization.

In this paper, we determine appropriate conditions under which equality in (*) occurs if and only if {ui}1≤i≤m are Schwarz symmetric.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 3 , June 2005 , pp. 643 - 662
Copyright
Copyright © Royal Society of Edinburgh 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

* Dedicated to the senior of symmetrization inequalities, E. H. Lieb, on the occasion of his 70th birthday.