28778

Автор(ы): 

Автор(ов): 

2

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Heat Kernels and Green Functions on Metric Measure Spaces

Наименование источника: 

  • Canadian Journal of Mathematics

Обозначение и номер тома: 

V. 66, № 3

Город: 

  • Toronto

Издательство: 

  • Canadian Mathematical Society

Год издания: 

2014

Страницы: 

641-699
Аннотация
We prove that, in a setting of local Dirichlet forms on metric measure spaces, a two-sided sub-Gaussian estimate of the heat kernel is equivalent to the conjunction of the volume doubling propety, the elliptic Harnack inequality and a certain estimate of the capacity between concentric balls. The main technical tool is the equivalence between the capacity estimate and the estimate of a mean exit time in a ball, that uses two-sided estimates of a Green function in a ball

Библиографическая ссылка: 

Григорьян А.А., Hu J.?. Heat Kernels and Green Functions on Metric Measure Spaces // Canadian Journal of Mathematics. 2014. V. 66, № 3. С. 641-699.