An integral type characterization of constant functions on metric-measure spaces

DOI10.1016/j.jmaa.2011.06.020zbMath1253.46045OpenAlexW1964729525MaRDI QIDQ641570

Alireza Ranjbar-Motlagh

Publication date: 24 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.06.020

zbMATH Keywords

Hölder continuitydoubling measuremetric measure space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on metric spaces (30L99)

Related Items (6)

On the characterization of constant functions through nonlocal functionals ⋮ An integral type characterization of constant functions on metric-measure spaces ⋮ Integral energy characterization of Hajłasz-Sobolev spaces ⋮ Generalized Rademacher-Stepanov type theorem and applications ⋮ An integral type characterization of Lipschitz functions over metric-measure spaces ⋮ Sobolev classes of Banach space-valued functions and quasiconformal mappings

Cites Work

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• An integral type characterization of constant functions on metric-measure spaces
• Heat kernels on metric spaces and a characterisation of constant functions
• Generalized Rademacher-Stepanov type theorem and applications
• Lectures on analysis on metric spaces
• Cohomologie ℓp espaces de Besov
• Poincaré inequality for abstract spaces
• Sobolev-type spaces from generalized Poincaré inequalities

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