Riesz means for the sublaplacian on the Heisenberg group |
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Authors: | S Thangavelu |
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Institution: | 1. TIFR Centre, IISc Campus, Post Box No. 1234, 560 012, Bangalore, India
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Abstract: | The uniform boundedness of the Riesz means for the sublaplacian on the Heisenberg groupH
n is considered. It is proved thatS
R
α
are uniformly bounded onL
p(Hn) for 1≤p≤2 provided α>α(p)=(2n+1)(1/p)−(1/2)]. |
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Keywords: | Fourier transform representations sublaplacian Riesz means projections |
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