L\"{o}wner equations and de Branges--Rovnyak spaces

TL;DR

This paper explores the connection between L"owner equations and de Branges--Rovnyak spaces, introducing a novel approach based on L"owner theory to identify concrete elements within these spaces.

Contribution

It presents a new method leveraging L"owner equations to analyze de Branges--Rovnyak spaces, offering fresh insights into their structure and elements.

Findings

New approach based on L"owner theory for de Branges--Rovnyak spaces

Concrete elements in de Branges--Rovnyak spaces identified

Enhanced understanding of the structure of these spaces

Abstract

We study de Branges--Rovnyak spaces parametrized by L\"{o}wner equations. A new approach based on the L\"{o}wner theory to problem ``Find concrete elements in de Branges--Rovnyak spaces'' is given.