Sobolev embedding theorems and their generalizations for maps defined on topological spaces with measures
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Publication:2674657
DOI10.3103/S0027132222010053zbMath1505.46033OpenAlexW4283025996WikidataQ113702320 ScholiaQ113702320MaRDI QIDQ2674657
Publication date: 14 September 2022
Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s0027132222010053
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)
Cites Work
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- Sobolev spaces on an arbitrary metric measure space: compactness of embeddings
- Embedding theorems and a variational problem for functions on a metric measure space
- Limits of Besov norms
- Compactness of embeddings of Sobolev type on metric measure spaces
- Duality on gradient estimates and Wasserstein controls
- Axiomatic theory of Sobolev spaces
- Lectures on analysis on metric spaces
- Sobolev embedding theorems and generalizations for functions on a metric measure space
- Definitions of Sobolev classes on metric spaces
- The Poincaré inequality for vector fields satisfying Hörmander's condition
- Sobolev spaces on an arbitrary metric space
- Sobolev-type classes of functions with values in a metric space
- Pointwise characterization of Sobolev classes
- Brownian motion on fractals and function spaces
- Ricci curvature for metric-measure spaces via optimal transport
- Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
- Embedding of Sobolev space in Orlicz space for a domain with irregular boundary
- Transport inequalities, gradient estimates, entropy and Ricci curvature
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Sobolev met Poincaré
- Criteria for compactness inLp-spaces,p≥ 0
- A sharp embedding theorem for Orlicz-Sobolev spaces
- CRITERIA FOR THE EXISTENCE OF DERIVATIVES IN $ L^p$
- Optimal Transport
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