Eva Pernecká, (Czech Technical University, Prague)

will speak on

Measure representation of functionals on Lipschitz spaces

Time: 3:00PM
Date: Tue 21st November 2023
Location: E0.32 (beside Pi restaurant) [map]

Further information

Abstract: From the work of K. de Leeuw from 1962 it follows that the dual of the space of Lipschitz functions can be identified with a quotient of a space of Radon measures. Thus, every continuous functional on the space of Lipschitz functions admits a representation by a (non-unique) measure of the same norm.

In this talk, we will focus on functionals that belong to a natural predual of the space of Lipschitz functions – the Lipschitz-free space. We will present some recent results on the existence of ``nice'' representing measures for these functionals, using the optimal transport theory. Finally, we will show an application of such measure representation to the problem of identifying the extreme points in Lipschitz-free spaces.

The talk will be based on ongoing joint work with Ramón J. Aliaga (Universitat Politècnica de València) and Richard J. Smith (University College Dublin).

https://ucd-ie.zoom.us/j/67582250524

(This talk is part of the Analysis series.)

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