Analysis Seminar : Dimitrios Ntalampekos (UCLA)

When:
October 31, 2017 @ 3:30 pm – 4:30 pm
2017-10-31T15:30:00-10:00
2017-10-31T16:30:00-10:00
Where:
Keller 402

Title : Harmonic functions on Sierpinski carpets

Abstract : I will discuss a notion of Sobolev spaces and harmonic functions on Sierpinski carpets, which differs from the classical approach of potential theory in metric measure spaces. The goal is to define a notion that takes into account also the ambient space, where the carpet lives. As an application of carpet-harmonic functions we obtain a quasisymmetric uniformization result for Sierpinski carpets.