Riesz means for the sublaplacian on the Heisenberg group

Thangavelu, S. (1990) Riesz means for the sublaplacian on the Heisenberg group Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 100 (2). pp. 147-156. ISSN 0253-4142

[img]
Preview
PDF - Publisher Version
412kB

Official URL: http://www.ias.ac.in/j_archive/mathsci/100/2/147-1...

Related URL: http://dx.doi.org/10.1007/BF02880959

Abstract

The uniform boundedness of the Riesz means for the sublaplacian on the Heisenberg group Hn is considered. It is proved that SRα are uniformly bounded on Lp(Hn) for 1 ≤ p ≤ 2 provided α>α(p)=(2n+1)[(1/p)-(1/2)].

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Fourier Transform; Representations; Sublaplacian; Riesz Means; Projections
ID Code:53585
Deposited On:09 Aug 2011 11:37
Last Modified:18 May 2016 06:39

Repository Staff Only: item control page