Trace operators on regular trees
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Publication:2033507
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
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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