• Hardy’s inequality for the fractional powers of the Grushin operator

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    • Keywords

       

      FractionalGrushin operator; fractional generalized subLaplacian; Hardy’s inequality; ground state representation; Hecke–Bochner formula

    • Abstract

       

      We prove Hardy’s inequality for the fractional powers of the generalized subLaplacian and the fractional powers of the Grushin operator. We also find an integral representation and a ground state representation for the fractional powers ofthe generalized subLaplacian.

    • Author Affiliations

       

      RAKESH BALHARA1

      1. Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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