Poincaré inequality 3/2 on the Hamming cube

  • Paata Ivanisvili

    University of California, Irvine, USA
  • Alexander Volberg

    Michigan State University, East Lansing, USA
Poincaré inequality 3/2 on the Hamming cube cover
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Abstract

For any , and any , we have

where for is taken with principal branch, and denotes the real part. We show an application of this inequality: it sharpens a well-known inequality of Beckner.

Cite this article

Paata Ivanisvili, Alexander Volberg, Poincaré inequality 3/2 on the Hamming cube. Rev. Mat. Iberoam. 36 (2020), no. 1, pp. 79–97

DOI 10.4171/RMI/1122