Abstract: On the standard Sierpinski carpet equipped with the Euclidean distance and the natural Hausdorff measure, it is well-known that the $(1,p)$-Newton-Sobolev space becomes trivial.
In this talk, I will propose a new way of constructing $(1,p)$-``Sobolev spaces'' on the Sierpinski carpet for all $1<p<\infty$.
I will also explain some results related to the Ahlfors regular conformal dimension of the Sierpinski carpet.
This is based on joint work with Mathav Murugan (The University of British Columbia).
Geometric analysis seminar: Ryosuke Shimizu (WASEDA University)
Event information
Event date
-
Event type
Public lectures, seminars and round tables
Event language
English
Event payment
Free of charge
