8079

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Comparison Inequalities for Heat Semigroups and Heat Kernels on Metric Measure Spaces

ISBN/ISSN: 

0022-1236

Наименование источника: 

  • Journal of Functional Analysis

Обозначение и номер тома: 

Vol. 259, № 10

Город: 

  • San Diego

Издательство: 

  • Elsevier

Год издания: 

2010

Страницы: 

2613-2641
Аннотация
We prove a certain inequality for a subsolution of the heat equation associated with a regular Dirichlet form. As a consequence of this inequality, we obtain various interesting comparison inequalities for heat semigroups and heat kernels, which can be used for obtaining pointwise estimates of heat kernels. As an example of application, we present a new method of deducing sub-Gaussian upper bounds of the heat kernel from on-diagonal bounds and tail estimates

Библиографическая ссылка: 

Григорьян А.А. Comparison Inequalities for Heat Semigroups and Heat Kernels on Metric Measure Spaces // Journal of Functional Analysis. 2010. Vol. 259, № 10. С. 2613-2641.