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On the regularity of characteristic functions

W. Sickel

Friedrich-Schiller-University


https://youtu.be/ETKwJQOmmUo

Аннотация: 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.

Язык доклада: английский


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