Traces of Newtonian-Sobolev, Hajlasz-Sobolev, and BV functions on metric spaces
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Publication:5161615
DOI10.2422/2036-2145.202001_003zbMath1489.46043arXiv1911.00533OpenAlexW3128380569MaRDI QIDQ5161615
Zhuang Wang, Xining Li, Panu Lahti
Publication date: 1 November 2021
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.00533
Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Analysis on metric spaces (30L99) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)
Related Items (5)
Trace and density results on regular trees ⋮ Strong \textit{BV}-extension and \(W^{1,1}\)-extension domains ⋮ A necessary condition for Sobolev extension domains in higher dimensions ⋮ Characterizations for the existence of traces of first-order Sobolev spaces on hyperbolic fillings ⋮ \(p\)-harmonic mappings between metric spaces
Cites Work
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- Description of traces of functions in the Sobolev space with a Muckenhoupt weight
- Geometric analysis on Cantor sets and trees
- Hajłasz-Sobolev imbedding and extension
- Nonlinear potential theory on metric spaces
- Traces of Sobolev functions on fractal type sets and characterization of extension domains
- Traces of weighted function spaces: dyadic norms and Whitney extensions
- Functions of bounded variation on ``good metric spaces
- Poincaré inequalities, uniform domains and extension properties for Newton-Sobolev functions in metric spaces
- Traces of weighted Sobolev spaces with Muckenhoupt weight. The case \(p=1\)
- Funzioni BV e tracce
- Quasiconformal maps in metric spaces with controlled geometry
- Fine properties of sets of finite perimeter in doubling metric measure spaces
- Trace theorems for functions of bounded variation in metric spaces
- Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
- Sobolev spaces on an arbitrary metric space
- Dyadic norm Besov-type spaces as trace spaces on regular trees
- Trace operators on regular trees
- Approximation of BV by SBV functions in metric spaces
- Characterization of trace spaces on regular trees via dyadic norms
- Notions of Dirichlet problem for functions of least gradient in metric measure spaces
- Discrete convolutions of \(\text{BV}\) functions in quasiopen sets in metric spaces
- Traces of weighted Sobolev spaces. Old and new
- Stability and continuity of functions of least gradient
- Pointwise characterizations of Hardy-Sobolev functions
- Relaxation and integral representation for functionals of linear growth on metric measure spaces
- Comportamento delle successioni convergenti di frontiere minimali
- Weakly Differentiable Functions
- Trace and extension theorems for functions of bounded variation
- Sobolev Spaces on Metric Measure Spaces
- Lebesgue points and capacities via boxing inequality in metric spaces
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