Type: Seminar

Distribution: World

Expiry: 24 Oct 2022

Auth: miranda@58.84.143.218 (jluo0722) in SMS-SAML

Dear friends and colleagues,
## Webinar Speaker

on **Monday, 24 October 2022 ** at

•**02:00 PM** for Beijing, Hong Kong and Perth

•**03:00 PM** for Seoul and Tokyo

•**05:00 PM** for Canberra, Melbourne and Sydney

•**07:00 PM** for Auckland

•

•

•

•

Professor ** Mieczysław Mastyło** is giving a talk in our Asia-Pacific Analysis and
PDE Seminar on

Abstract random polynomial inequalities in Banach spaces

**Abstract:**

We will discuss some recent work with Andreas Defant, concerning variants of the celebrated
Kahane--Salem--Zygmund random polynomial inequalities. We will present estimates for exponential Orlicz norms of random variables \,$\sup_{1\leq j\leq N}\big|\sum_{i=1}^K a_i(j) \gamma_i\big|$, where $(a_i(j))_{j=1}^N \in \ell_\infty^N, \, 1 \leq i \leq K$ and $(\gamma_i)$ forms a~sequence of real or complex subgaussian random variables. Lifting these inequalities to finite dimensional Banach spaces, we get new Kahane--Salem--Zygmund type inequalities -- in particular, for spaces of subgaussian random polynomials on finite dimensional Banach spaces, and also for subgaussian random Dirichlet polynomials. We use interpolation methods to widen our approach considerably.

**Chair:** Yoshihiro Sawano (Chuo University, Japan)

More information and how to attend this talk can be found at the
seminar webpage .

Miranda

On behalf of Daniel H. and Ben

------

Mieczysław Mastyło

Professor @ Adam Mickiewicz University Poznań, Poland

Professor Mastyło received his PhD at Adam Mickiewicz University Poznań in 1985, where he also received his Doctor Habilitatus in 1991 and finally became a full Professor in 1999. From 2000 until 2015, he also held a professor position at the Institute of Mathematics of the Polish Academy of Sciences. Throughout his career, Professor Mastyło has been visiting professor at various prestigious international institutes including the University of Missouri-Columbia and Memphis University in the United States.