• Riesz means for the sublaplacian on the Heisenberg group

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/100/02/0147-0156

    • Keywords

       

      Fourier transform; representations; sublaplacian; Riesz means; projections

    • Abstract

       

      The uniform boundedness of the Riesz means for the sublaplacian on the Heisenberg groupHn is considered. It is proved thatSRα are uniformly bounded onLp(Hn) for 1≤p≤2 provided α>α(p)=(2n+1)[(1/p)−(1/2)].

    • Author Affiliations

       

      S Thangavelu1

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

       
  • Proceedings – Mathematical Sciences | News

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