Title: Two Random Sequence Spaces and Their Multipliers
Speaker: Sen Zhu (Jilin University)
Time: 16:00-17:00, July29
Location: Tecent Meeting, Tecent Meeting ID: 540 750 116
Abstract: Given a sequence $\{X_n\}_{n=0}^\infty$ of independent, identical distribution random variables with law $\mu$, we consider two random sequence spaces (induced by $\{X_n\}$) which are defined as $H^2_{\mu,1}=\{\sum_{n=0}^{\infty}a_nz^n:\sum_{n=0}^{\infty}|a_n|^2X_n^2<\infty\}$ and $H^2_{\mu,2}=\{\sum_{n=0}^{\infty}a_nz^n: \sum_{n=1}^{\infty}|a_n|^2(X_1\cdots X_n)^2<\infty\}$. We shall present some results concerning their members, multiplier algebras and some concrete operators on them.
Meeting Link：https://meeting.tencent.com/s/s0ScOZE0ejog
Video Link：https://www.bilibili.com/video/BV1EV411z7mo
