Comptes Rendus
no. 5
Complex analysis/Harmonic analysis
On the norms of quaternionic harmonic projection operators
[Sur les normes des opérateurs de projection harmoniques sur la sphère dans l'espace quaternionique]

Présenté par : the Editorial Board

Roberto Bramati1 ; Valentina Casarino2 ; Paolo Ciatti3
1 Università degli Studi di Padova, Via Trieste 53, 35100 Padova, Italy
2 Università degli Studi di Padova, Stradella san Nicola 3, 36100 Vicenza, Italy
3 Università degli Studi di Padova, Via Marzolo 9, 35100 Padova, Italy
Comptes Rendus. Mathématique, Volume 356 (2018) no. 5, pp. 482-488.

En conséquence d'estimations intégrales pour trois classes d'harmoniques sphériques quaternioniques, nous prouvons quelques minorations pour la (Lp,L2) norme des projecteurs harmoniques quaternioniques, pour p∈[1,2].

As a consequence of integral bounds for three classes of quaternionic spherical harmonics, we prove some bounds from below for the (Lp,L2) norm of quaternionic harmonic projectors, for p∈[1,2].

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2018.03.011
Roberto Bramati 1 ; Valentina Casarino 2 ; Paolo Ciatti 3

1 Università degli Studi di Padova, Via Trieste 53, 35100 Padova, Italy
2 Università degli Studi di Padova, Stradella san Nicola 3, 36100 Vicenza, Italy
3 Università degli Studi di Padova, Via Marzolo 9, 35100 Padova, Italy 
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Roberto Bramati; Valentina Casarino; Paolo Ciatti. On the norms of quaternionic harmonic projection operators. Comptes Rendus. Mathématique, Volume 356 (2018) no. 5, pp. 482-488. doi : 10.1016/j.crma.2018.03.011. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.03.011/

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