Characterizations for the existence of traces of first-order Sobolev spaces on hyperbolic fillings
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Publication:6191604
DOI10.1007/s00605-023-01900-8arXiv2203.14231OpenAlexW4387048470MaRDI QIDQ6191604
Publication date: 9 February 2024
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.14231
tracecharacterizationtrace operatorhyperbolic fillingfirst-order Sobolev spacehomogeneous first-order Sobolev space
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potential theory on fractals and metric spaces (31E05)
Cites Work
- Unnamed Item
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- Geometric analysis on Cantor sets and trees
- Nonlinear potential theory on metric spaces
- Elements of asymptotic geometry
- Quasiconformal maps in metric spaces with controlled geometry
- Lectures on analysis on metric spaces
- Traces of Besov, Triebel-Lizorkin and Sobolev spaces on metric spaces
- Sobolev spaces and hyperbolic fillings
- Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
- Dyadic norm Besov-type spaces as trace spaces on regular trees
- Trace operators on regular trees
- Trace and density results on regular trees
- Characterization of trace spaces on regular trees via dyadic norms
- Extension and trace results for doubling metric measure spaces and their hyperbolic fillings
- Cohomologie ℓp espaces de Besov
- Traces of Newtonian-Sobolev, Hajlasz-Sobolev, and BV functions on metric spaces
- Harmonic functions on metric spaces
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