On the Hardy-Littlewood-Polya inequality
Maria Filatova (Ural Federal University at Ekaterinburg)
- https://www.uni-giessen.de/de/fbz/fb07/fachgebiete/mathematik/mathematik/kalender/2018/2018-06-21
- On the Hardy-Littlewood-Polya inequality
- 2018-06-21T16:00:00+02:00
- 2018-06-21T17:00:00+02:00
- Maria Filatova (Ural Federal University at Ekaterinburg)
21.06.2018 von 16:00 bis 17:00 (Europe/Berlin / UTC200)
Hörsaal (Raum 111, 1. Stock) im Mathematischen Institut, Arndtstraße 2
Abstract:
In 1934, Hardy, Littlewood and Polya established the exact inequality between the norms of the derivatives of a function in a space
$L_2(0,\infty)$:
$$
\|f'\|^2 \leq 2\|f\| \|f''\|.
$$
In 1971, Kato showed an abstract version of this inequality. In this talk, we will discuss inequalities of this type for powers of dissipative operators in a Hilbert space. We also discuss the problem of the best approximation of m-accretive operators in a Hilbert space, that is closely related to Kato's inequality.