Poincaré inequality and Hajłasz-Sobolev spaces on nested fractals
From MaRDI portal
Publication:2856667
DOI10.4064/SM218-1-1zbMATH Open1300.46030arXiv1201.3493OpenAlexW2046756271MaRDI QIDQ2856667
Author name not available (Why is that?)
Publication date: 30 October 2013
Published in: (Search for Journal in Brave)
Abstract: Given a nondegenerate harmonic structure, we prove a Poincar'e-type inequality for functions in the domain of the Dirichlet form on nested fractals. We then study the Hajlasz-Sobolev spaces on nested fractals. In particular, we describe how the "weak"-type gradient on nested fractals relates to the upper gradient defined in the context of general metric spaces.
Full work available at URL: https://arxiv.org/abs/1201.3493
No records found.
No records found.
This page was built for publication: Poincaré inequality and Hajłasz-Sobolev spaces on nested fractals
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2856667)
