Arkiv för Matematik
Volume 57 (2019)
Comparison of moments of Rademacher chaoses
Pages: 121 – 128
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
2010 Mathematics Subject Classification
Primary 60E15. Secondary 42C10.
Received 20 July 2018
Received revised 11 September 2018
Accepted 20 September 2018
Published 3 May 2019