EntityQ3711848· pop 6· linked from 127 articlesSobolev inequalitySign in to savetheorem about inclusions between Sobolev spaces: if 1≤r≤s<∞ and 1/r − k/n = 1/s − l/n, then Wᵏʳ(ℝⁿ) ⊆ Wˡˢ(ℝⁿ)ConnectionsSpringer Science+Business MediaEntitycompact operatorEntityHölder conditionEntitymathematicsEntityInternational Standard Book NumberEntitymathematical analysisEntityJohn Forbes NashEntitydigital object identifierEntityFourier transformEntityJSTOROrganizationbibcodeEntityHilbert spaceEntityfunctional analysisEntityQ118398EntityRiemann hypothesisEntitymanifoldEntitycalculus of variationsEntityopen setEntityBanach spaceEntitycompact spaceEntityCategoriesCompactness theoremsInequalities (mathematics)Sobolev spaces