Removable sets for the poincare inequality on metric spaces

DOI10.1512/iumj.2000.49.1719zbMath0958.30008OpenAlexW2081186728WikidataQ112014168 ScholiaQ112014168MaRDI QIDQ4522436

Pekka Koskela, Nageswari Shanmugalingam, Heli Tuominen

Publication date: 17 April 2001

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2000.49.1719

zbMATH Keywords

Sobolev spaceHölder continuityextension operator

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (14)

Higher integrability for vector-valued parabolic quasi-minimizers on metric measure spaces ⋮ Nonsmooth calculus ⋮ Harnack inequality for parabolic quasi minimizers on metric spaces ⋮ Existence of parabolic minimizers to the total variation flow on metric measure spaces ⋮ Capacitary density and removable sets for Newton-Sobolev functions in metric spaces ⋮ Removable sets for Newtonian Sobolev spaces and a characterization of \(p\)-path almost open sets ⋮ Polar sets on metric spaces ⋮ Local behavior of \(p\)-harmonic Green's functions in metric spaces ⋮ Existence of parabolic minimizers on metric measure spaces ⋮ Existence of variational solutions to a Cauchy-Dirichlet problem with time-dependent boundary data on metric measure spaces ⋮ Semmes family of curves and a characterization of functions of bounded variation in terms of curves ⋮ Scaled-oscillation and regularity ⋮ Hölder continuity of parabolic quasi-minimizers on metric measure spaces ⋮ Sobolev classes of Banach space-valued functions and quasiconformal mappings

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