Energy measures and indices of Dirichlet forms, with applications to derivatives on some fractals
From MaRDI portal
Publication:5850803
DOI10.1112/PLMS/PDP032zbMATH Open1185.60089arXiv0906.4251OpenAlexW2002014257MaRDI QIDQ5850803
Author name not available (Why is that?)
Publication date: 15 January 2010
Published in: (Search for Journal in Brave)
Abstract: We introduce the concept of index for regular Dirichlet forms by means of energy measures, and discuss its properties. In particular, it is proved that the index of strong local regular Dirichlet forms is identical with the martingale dimension of the associated diffusion processes. As an application, a class of self-similar fractals is taken up as an underlying space. We prove that first-order derivatives can be defined for functions in the domain of the Dirichlet forms and their total energies are represented as the square integrals of the derivatives.
Full work available at URL: https://arxiv.org/abs/0906.4251
No records found.
No records found.
This page was built for publication: Energy measures and indices of Dirichlet forms, with applications to derivatives on some fractals
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5850803)
