Voir la notice de l'article provenant de la source Numdam
The aim of this article is to present “refined” Hardy-type inequalities. Those inequalities are generalisations of the usual Hardy inequalities, their additional feature being that they are invariant under oscillations: when applied to highly oscillatory functions, both sides of the refined inequality are of the same order of magnitude. The proof relies on paradifferential calculus and Besov spaces. It is also adapted to the case of the Heisenberg group.
@article{ASNSP_2006_5_5_3_375_0,
author = {Bahouri, Hajer and Chemin, Jean-Yves and Gallagher, Isabelle},
title = {Refined {Hardy} inequalities},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {375--391},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 5},
number = {3},
year = {2006},
mrnumber = {2274784},
zbl = {1121.43006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ASNSP_2006_5_5_3_375_0/}
}
TY - JOUR AU - Bahouri, Hajer AU - Chemin, Jean-Yves AU - Gallagher, Isabelle TI - Refined Hardy inequalities JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2006 SP - 375 EP - 391 VL - 5 IS - 3 PB - Scuola Normale Superiore, Pisa UR - http://geodesic.mathdoc.fr/item/ASNSP_2006_5_5_3_375_0/ LA - en ID - ASNSP_2006_5_5_3_375_0 ER -
%0 Journal Article %A Bahouri, Hajer %A Chemin, Jean-Yves %A Gallagher, Isabelle %T Refined Hardy inequalities %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2006 %P 375-391 %V 5 %N 3 %I Scuola Normale Superiore, Pisa %U http://geodesic.mathdoc.fr/item/ASNSP_2006_5_5_3_375_0/ %G en %F ASNSP_2006_5_5_3_375_0
Bahouri, Hajer; Chemin, Jean-Yves; Gallagher, Isabelle. Refined Hardy inequalities. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 5 (2006) no. 3, pp. 375-391. http://geodesic.mathdoc.fr/item/ASNSP_2006_5_5_3_375_0/