Standard deviation and Schatten class Hankel operators on the Segal-Bargmann space Jingbo XiaDechao Zheng 47B1047B3247B35Hankel operatorSchatten class We consider Hankel operators on the Segal-Bargmann space $H^2(\mathbb{C}^n,d\mu)$. Our main result is a necessary and sufficient condition for the simultaneous membership of $H_f$ and $H_{\bar{f}}$ in the Schatten class $\mathcal{C}_p$, $1\leq p < \infty$. We will explain that, since this condition is valid in the case $1 \leq p \leq 2$ as well as in the case $2 \leq p < \infty$, this result reflects the structural difference between the Segal-Bargmann space and other reproducing-kernel spaces such as the Bergman space $L^2_a(B_n,dv)$. Indiana University Mathematics Journal 2004 text pdf 10.1512/iumj.2004.53.2434 10.1512/iumj.2004.53.2434 en Indiana Univ. Math. J. 53 (2004) 1381 - 1400 state-of-the-art mathematics http://iumj.org/access/