Best constants in Rosenthal-type inequalities and the Kruglov operator

S. V. Astashkin, F. A. Sukochev

Let $X$ be a symmetric Banach function space on $[0,1]$ with the Kruglov property, and let $\mathbf{f}=\{f_k{\}}_{k=1}^n$, $n\ge 1$ be an arbitrary sequence of independent random vari…