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UID:7407@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20180122T100000
DTEND;TZID=Europe/Paris:20180122T110000
DTSTAMP:20241120T203943Z
URL:https://www.i2m.univ-amu.fr/evenements/theoremes-maximaux-de-type-hard
 y-littlewood-avec-bornes-independantes-de-la-dimension/
SUMMARY:Luc Deléaval (LAMA\, Université Gustave Eiffel\, Champs-sur-Marne
 ): Théorèmes maximaux de type Hardy-Littlewood avec bornes indépendante
 s de la dimension
DESCRIPTION:Luc Deléaval: In this talk\, Fefferman-Stein inequalities in 
 𝐿𝑝(ℝ𝑑\;ℓ𝑞) with bounds independent of the dimension 𝑑 a
 re proved\, for all 1&lt\;𝑝\,𝑞&lt\;+∞. This result generalizes in 
 a vector-valued setting the famous one by Stein for the standard Hardy-Lit
 tlewood maximal operator. We then extend our result by replacing ℓ𝑞 w
 ith an arbitrary UMD Banach lattice. Finally\, we prove similar dimensionl
 ess inequalities in the setting of the Grushin operators.\nHardy-Littlewoo
 d maximal theorems with dimension independent bounds\nDimension free bound
 s for the vector-valued Hardy-Littlewood maximal operator\nhttps://hal.arc
 hives-ouvertes.fr/hal-01494518/\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 021/03/Luc_Deleaval.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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