Abstract
We derive moment and tail estimates for Gaussian chaoses of arbitrary order with values in Banach spaces. We formulate a conjecture regarding two-sided estimates and show that it holds in a certain class of Banach spaces including $L_{q}$ spaces. As a corollary we obtain two-sided bounds for moments of chaoses with values in $L_{q}$ spaces based on exponential random variables.
Citation
Radosław Adamczak. Rafał Latała. Rafał Meller. "Moments of Gaussian chaoses in Banach spaces." Electron. J. Probab. 26 1 - 36, 2021. https://doi.org/10.1214/20-EJP567
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