Resistance forms, quasisymmetric maps and heat kernel estimates

By 木上 淳. 2012

141 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/9c90341faf8c53d66dc95136a29ccbad280f7164

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Alexander Grigorʼyan
2. Martin T. Barlow
3. András Telcs
4. Takashi Kumagai
5. Mathav Kishore Murugan
6. Alexander Teplyaev
7. Michael Hinz
8. Michael Röckner

Citations in the corpus

• TWO-SIDED ESTIMATES OF HEAT KERNELS ON METRIC MEASURE SPACES (2012, background): “(DUE ) Using (FK ), we obtain first some diagonal upper bound for the Dirichlet heat kernels in balls, and then use Kigami’s iteration argument and (1.13) to pass to (DUE).”
• Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces (2012, methodology): “x m(dx) with some cP >0 for all f∈ Lp(X,m) with R X fdm= 0. For smooth bounded Euclidean domains (47) follows by classical arguments. It also holds if (E,F) is induced by a regular resistance form [37, 38, 40] and is subject to Dirichlet boundary conditions. 28 M.HINZ,M.ROCKNER,ANDA.TEPLYAEV¨ 9. ”
• Stability of elliptic Harnack inequality (2016, background): “(See [Hei] for an introduction to this theory, and [Ki2] for applications to heat kernels.”