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Geometric analysis on Cantor sets and trees
Work
Year: 2014
Type: article
Abstract: Using uniformization, Cantor type sets can be regarded as boundaries of rooted trees. In this setting, we show that the trace of a first-order Sobolev space on the boundary of a regular rooted tree i... more
Source: Journal für die reine und angewandte Mathematik (Crelles Journal)
Authors Anders Björn, Jana Björn, James T. Gill, Nageswari Shanmugalingam
Institutions Linköping University, Saint Louis University, University of Cincinnati
Cites: 39
Cited by: 23
Related to: 10
FWCI: 1.401
Citation percentile (by year/subfield): 89.3
Topic: Geometric Analysis and Curvature Flows
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Sustainable Development Goal Sustainable cities and communities
Open Access status: green
Funders National Science Foundation, National Science Foundation, Simons Foundation
Grant IDS DMS-1004721, DMS-1200915, #200474