Data di Pubblicazione:
2011
Citazione:
$L^p$-summability of Riesz means for the sublaplacian
on complex spheres / V. Casarino, M.M. Peloso. - In: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6107. - 83:1(2011), pp. 137-152. [10.1112/jlms/jdq067]
Abstract:
In this paper we study the Lp-convergence of the Riesz means SRδ(f) for the sublaplacian on the sphere S2n - 1 in the complex n-dimensional space ℂn. We show that SR δ(f) converges to f in Lp(S2n - 1) when δ > δ (p)(2n - 1)1/2 - 1/p and R→ + ∞. The index (p) coincides with the one found by Mauceri and, with different methods, by Müller in the case of sublaplacian on the Heisenberg group. It is worth noticing that the index δ(p) depends on the topological dimension of the underlying space S2n-1.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
V. Casarino, M.M. Peloso
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