Leírás
The big Lip and the little lip operators are generalizations of the (absolute value of the) derivative operator for every f from the real line to itself. There are many papers investigating the connection between lip f, Lip f and the differentiability properties of f.
We worked on another topic: As a first step to describe which functions arise in the form lip f / Lip f, we investigated the following question: For which sets E is there an f such that the characteristic function of E equals lip f / Lip f? If there exists such an f, we say that E is lip 1 / Lip 1. We characterized the set of lip 1 sets, but the problem concerning Lip 1 sets is still open, although we found some necessary and some sufficient conditions.
Joint work with Zoltán Buczolich, Bruce Hanson and Balázs Maga.
Zoom link: https://zoom.us/j/93746696898?pwd=b1J2MnEwMVdDVElPUFRkYWdtVXdWdz09
Meeting ID: 937 4669 6898
Passcode: 280561