论文标题
巴拉克空间中高斯混乱的时刻
Moments of Gaussian chaoses in Banach spaces
论文作者
论文摘要
我们得出了与Banach空间中值的任意顺序高斯混乱的矩和尾部估计。我们对双面估计提出了一个猜想，并表明它在包括L_Q空间在内的某些类别的Banach空间中。作为推论，我们基于指数随机变量在L_Q空间中的混沌矩中获得两侧边界。
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.
