Dimension-free Harnack inequality suffices for sharp upper Gaussian heat kernel estimates on infinitesimally Hilbertian metric measure spaces, with local logarithmic Sobolev inequality as an intermediate step, claimed new even in RCD(K,∞) spaces.
Sturm , Heat kernel bounds on manifolds
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.PR 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
From Harnack inequality to heat kernel estimates on metric measure spaces and applications
Dimension-free Harnack inequality suffices for sharp upper Gaussian heat kernel estimates on infinitesimally Hilbertian metric measure spaces, with local logarithmic Sobolev inequality as an intermediate step, claimed new even in RCD(K,∞) spaces.