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Riesz means for the sublaplacian on the Heisenberg group

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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 αR are uniformly bounded onL p(Hn) for 1≤p≤2 provided α>α(p)=(2n+1)[(1/p)−(1/2)].

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  1. TIFR Centre, IISc Campus, Post Box No. 1234, 560 012, Bangalore, India

    S Thangavelu

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  1. S Thangavelu
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Thangavelu, S. Riesz means for the sublaplacian on the Heisenberg group. Proc. Indian Acad. Sci. (Math. Sci.) 100, 147–156 (1990). https://doi.org/10.1007/BF02880959

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