Classification of anisotropic Triebel-Lizorkin spaces

05.12.2022 15:00 - 16:30

Sarah Koppensteiner (University of Vienna)

We present a classification result for homogeneous anisotropic Triebel-Lizorkin spaces F^\alpha_{p,q}(A) associated to expansive dilation matrices A.  More precisely, it holds that F^\alpha_{p,q}(A) = F^\alpha_{p,q}(B) if and only if the quasi-norms induced by A and B are equivalent (except when F^0_{p,2}=L^p where equivalence of the quasi-norms is not necessary).  Familiarity with anisotropic function spaces is not required for this talk.  We will introduce the necessary notions about expansive matrices, their quasi-norms and anisotropic wavelets.  

This is joint work with Jordy van Velthoven and Felix Voigtlaender.

L. Liehr and I. Shafkulovska
SR6 (1st floor)