Intrinsic metrics and geometry of dirichlet forms
International Journal of Development Research
Intrinsic metrics and geometry of dirichlet forms
Received 11th January, 2023; Received in revised form 17th January, 2023; Accepted 08th February, 2023; Published online 28th February, 2023
Copyright©2023, Hanana Elnage. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We present a general conception of intrinsic metric and study some of its properties. We provide for general regular Dirichlet forms. Given a regular, strongly local Dirichlet form ℇ, the local doubling and local Poincaré inequalities are satisfied, we obtain that: the intrinsic differential and distance structures of ℇ coincide.
