29770

Автор(ы): 

Автор(ов): 

3

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Estimates of heat kernels for non-local regular Dirichlet forms

ISBN/ISSN: 

ISSN 1088-6850

Наименование источника: 

  • Transactions of the American Mathematical Society

Обозначение и номер тома: 

Vol. 366, № 12

Город: 

  • -

Издательство: 

  • American Mathematical Society

Год издания: 

2014

Страницы: 

6397-6441
Аннотация
In this paper we present new heat kernel upper bounds for a certain class of non-local regular Dirichlet forms on metric measure spaces, including fractal spaces. We use a new purely analytic method where one of the main tools is the parabolic maximum principle. We deduce an off-diagonal upper bound of the heat kernel from the on-diagonal one under the volume regularity hypothesis, restriction of the jump kernel and the survival hypothesis. As an application, we obtain two-sided estimates of heat kernels for non-local regular Dirichlet forms with finite effective resistance, including settings with the walk dimension greater than 2.

Библиографическая ссылка: 

Григорьян А.А., Hu J., Lau K.-S. Estimates of heat kernels for non-local regular Dirichlet forms // Transactions of the American Mathematical Society. 2014. Vol. 366, № 12. С. 6397-6441.