Newtonian Lorentz metric spaces

zbMath1319.31015arXiv1104.3475MaRDI QIDQ384328

Şerban Costea, Michele~jun. Miranda

Publication date: 27 November 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3475

zbMATH Keywords

Poincaré inequalitydoubling measureSobolev-type spaces on metric spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities on other spaces (31C15) Potential theory on fractals and metric spaces (31E05)

Related Items (5)

Density of Lipschitz functions in energy ⋮ Hajłasz gradients are upper gradients ⋮ Sobolev-Lorentz spaces in the Euclidean setting and counterexamples ⋮ Regularization of Newtonian functions on metric spaces via weak boundedness of maximal operators ⋮ Morrey-Sobolev spaces on metric measure spaces

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