Orlicz capacities and Hausdorff measures on metric spaces

DOI10.1007/s00209-005-0792-yzbMath1084.31004OpenAlexW2142192628MaRDI QIDQ2574933

Jani Onninen, Jana Björn

Publication date: 5 December 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/46282

zbMATH Keywords

Hausdorff measuremetric measure spacePoincare inequalityOrlicz capacity

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) Potentials and capacities on other spaces (31C15) Hausdorff and packing measures (28A78)

Related Items (4)

Essentially fully anisotropic Orlicz functions and uniqueness to measure data problem ⋮ Capacities and Hausdorff measures on metric spaces ⋮ Lebesgue points via the Poincaré inequality ⋮ Pointwise behaviour of Orlicz-Sobolev functions

Cites Work

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• An extension of Reshetnyak's Theorem
• Sobolev met Poincaré

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