Can I read Equivalence of Besov spaces on p.c.f. self-similar sets on EtoBox?

Equivalence of Besov spaces on p.c.f. self-similar sets by Cao, Shiping; Qiu, Hua is a scholarly article available to read on EtoBox.

What is Equivalence of Besov spaces on p.c.f. self-similar sets about?

On p.c.f. self-similar sets, of which the walk dimensions of heat kernels are in general larger than 2, we find a sharp region where two classes of Besov spaces, the heat Besov spaces $B^{p,q}_\sigma(K)$ and the Lipschitz-Besov spaces $\Lambda^{p,q}_\sigma(K)$, are identitical. In particular, we provide concrete examples that $B^{p,q}_\sigma(K)=\Lambda^{p,q}_\sigma(K)$ with $\sigma>1$. Our method is purely analytical, and does not involve any heat kernel estimate.

Author

Cao, Shiping; Qiu, Hua

Published

2020

Language

EN