Video library: W. Sickel, On the regularity of characteristic functions

VIDEO LIBRARY


Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov May 29, 2023 12:30, Moscow, Steklov Mathematical Institute + Zoom

On the regularity of characteristic functions W. Sickel Friedrich-Schiller-University
https://youtu.be/ETKwJQOmmUo Abstract: Let $E \subset \mathbb{R}$ be a domain such that $0 < \|E\| < \infty$. In my talk I will discuss the regularity of the associated characteristic function in the framework of Besov and Lizorkin–Triebel spaces. The main goal will be a description of if and only if — conditions given in terms of the volume of the $\delta$ neighborhoods of the boundary of $E$ for a certain class of domains. Language: English