6533b7d6fe1ef96bd1265a3d

RESEARCH PRODUCT

Sobolev-type spaces from generalized Poincaré inequalities

Toni HeikkinenHeli TuominenPekka Koskela

subject

Pure mathematicsGeneral MathematicsMathematical analysisPoincaré inequalityType (model theory)Space (mathematics)Sobolev inequalitySobolev spacesymbols.namesakesymbolsInterpolation spaceBirnbaum–Orlicz spaceMathematicsSobolev spaces for planar domains

description

We de ne a Sobolev space by means of a generalized Poincare inequality and relate it to a corresponding space based on upper gradients. 2000 Mathematics Subject Classi cation: Primary 46E35, Secondary 46E30, 26D10

yearjournalcountryeditionlanguage
2007-01-01Studia Mathematica
https://doi.org/10.4064/sm181-1-1