SMS scnews item created by Miranda Luo at Tue 18 Oct 2022 1335
Type: Seminar
Distribution: World
Expiry: 24 Oct 2022
Calendar1: 24 Oct 2022 1700-1800
CalLoc1: Zoom webinar
Auth: miranda@58.84.143.218 (jluo0722) in SMS-SAML

Asia-Pacific Analysis and PDE Seminar

Abstract random polynomial inequalities in Banach spaces

Mieczyslaw Mastylo

Dear friends and colleagues,

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
 

------

Webinar Speaker

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.