Trace operators on regular trees

DOI10.1515/agms-2020-0117zbMath1478.46041OpenAlexW3122121897WikidataQ109746544 ScholiaQ109746544MaRDI QIDQ2033507

Zhuang Wang, Pekka Koskela, Khanh Ngoc Nguyen

Publication date: 17 June 2021

Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/agms-2020-0117

zbMATH Keywords

regular treetrace operatorNewtonian space

Mathematics Subject Classification ID

Potential theory on fractals and metric spaces (31E05) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Related Items (6)

Trace and density results on regular trees ⋮ Characterizations for the existence of traces of first-order Sobolev spaces on hyperbolic fillings ⋮ Admissibility versus \(A_p\)-conditions on regular trees ⋮ Traces of Newtonian-Sobolev, Hajlasz-Sobolev, and BV functions on metric spaces ⋮ \(p\)-harmonic mappings between metric spaces ⋮ Classification criteria for regular trees

Cites Work

• Geometric analysis on Cantor sets and trees
• Nonlinear potential theory on metric spaces
• \(p\)-capacity and \(p\)-hyperbolicity of submanifolds
• Quasiconformal maps in metric spaces with controlled geometry
• Trace theorems for functions of bounded variation in metric spaces
• Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
• Volume growth, Green's functions, and parabolicity of ends
• Dyadic norm Besov-type spaces as trace spaces on regular trees
• Admissibility versus \(A_p\)-conditions on regular trees
• Characterization of trace spaces on regular trees via dyadic norms
• Volume growth and parabolicity
• Weakly Differentiable Functions
• Trace and extension theorems for functions of bounded variation
• Sobolev Spaces on Metric Measure Spaces
• Sobolev Spaces
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