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Comparison of moments of Rademacher chaoses

Paata Ivanisvili Princeton University & University of California at Irvine Tomasz Tkocz Carnegie Mellon University

Probability mathscidoc:1912.43032

Arkiv for Matematik, 57, (1), 121-128, 2018
We show that complex hypercontractivity gives better constants than real hypercontractivity in comparison inequalities for (low) moments of Rademacher chaoses (homogeneous polynomials on the discrete cube).
Rademacher chaos, moment comparison, hypercontractivity, Hamming cube, Markov–Nikolskii type inequality
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@inproceedings{paata2018comparison,
  title={Comparison of moments of Rademacher chaoses},
  author={Paata Ivanisvili, and Tomasz Tkocz},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191204133529147267588},
  booktitle={Arkiv for Matematik},
  volume={57},
  number={1},
  pages={121-128},
  year={2018},
}
Paata Ivanisvili, and Tomasz Tkocz. Comparison of moments of Rademacher chaoses. 2018. Vol. 57. In Arkiv for Matematik. pp.121-128. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191204133529147267588.
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