论文标题
发电机在Dirichlet空间和应用程序的应用程序的功能
Powers Of Generators On Dirichlet Spaces And Applications To Harnack Principles
论文作者
论文摘要
我们为实现Dirichlet空间上合适的操作员的功能或功能提供了一个通用框架。第一个贡献是统一有关特定几何形状的可用结果；第二个是为较为通用的度量测量空间提供新的结果，这些空间以前未考虑并自然而然地属于Dirichlet空间理论。主要工具是使用STINGA和TOREREA基于从属和半组的方法。假设更多关于Dirichlet空间，我们将多个应用程序推导到Harnack和Boundary Harnack原理等PDE。
We provide a general framework for the realization of powers or functions of suitable operators on Dirichlet spaces. The first contribution is to unify the available results dealing with specific geometries; a second one is to provide new results on rather general metric measured spaces that were not considered before and fall naturally in the theory of Dirichlet spaces. The main tool is using the approach based on subordination and semi-groups by Stinga and Torrea. Assuming more on the Dirichlet space, we derive several applications to PDEs such as Harnack and Boundary Harnack principles.
