Pointwise Lipschitz functions on metric spaces

DOI10.1016/j.jmaa.2009.09.039zbMath1200.46030arXiv0901.3236OpenAlexW2016496695MaRDI QIDQ1046504

Estibalitz Durand-Cartagena, Jesús Angel Jaramillo

Publication date: 22 December 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.3236

zbMATH Keywords

Lipschitz functionsBanach-Stone theoremmetric measure spacesNewtonian-Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Analysis on metric spaces (30L99)

Related Items (20)

Nonunital spectral triples and metric completeness in unbounded \(KK\)-theory ⋮ Infinity modulus and the essential metric ⋮ Some results on isometric composition operators on Lipschitz spaces ⋮ A pointwise Lipschitz selection theorem ⋮ A note on a Residual Subset of Lipschitz Functions on Metric Spaces ⋮ Extensions and approximations of Banach-valued Sobolev functions ⋮ Existence and uniqueness of \(\infty \)-harmonic functions under assumption of \(\infty \)-Poincaré inequality ⋮ The \(\infty \)-Poincaré inequality on metric measure spaces ⋮ Lipschitz extensions and approximations ⋮ LYAPUNOV EXPONENTS ON METRIC SPACES ⋮ Split Lipschitz-type functions ⋮ \(p\)-Poincaré inequality versus \(\infty \)-Poincaré inequality: some counterexamples ⋮ Endomorphisms of pointwise Lipschitz algebras ⋮ Inverse function theorems and Jacobians over metric spaces ⋮ N-Lusin property in metric measure spaces: a new sufficient condition ⋮ A metric approach to elastic reformations ⋮ Lyapunov exponents for expansive homeomorphisms ⋮ Ergodicity of non-autonomous discrete systems with non-uniform expansion ⋮ Corrigendum to: ``Pointwise Lipschitz functions on metric spaces ⋮ Entropy inequalities for semigroup actions

Cites Work

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• Extremal length and functional completion
• Algebras of uniformly continuous functions
• Measurability of equivalence classes and MEC\(_p\)-property
• Quasiconformal maps in metric spaces with controlled geometry
• Differentiability of Lipschitz functions on metric measure spaces
• Lectures on analysis on metric spaces
• A Banach-Stone theorem for uniformly continuous functions
• A differentiable structure for metric measure spaces
• Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
• Homomorphisms on function lattices
• The Stepanov differentiability theorem in metric measure spaces
• Sobolev spaces on an arbitrary metric space
• Lipschitz-type functions on metric spaces
• Nonsmooth calculus

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