Sharp estimates for conditionally centred moments and for compact operators on $L^p$ spaces

Eugene Shargorodsky, Teo Sharia

Let $(\Omega ,\mathcal{F},\mathbf{P})$ be a probability space, $\xi$ be a random variable on $(\Omega ,\mathcal{F},\mathbf{P})$, $\mathcal{G}$ be a sub-$\sigma$-algebra of $\mathcal{F}$, and let…