0000000000375024

AUTHOR

Bogdan Bojarski

showing 2 related works from this author

Generalized solutions of a system of differential equations of the first order and elliptic type with discontinuous coefficients

2009

osittaisdifferentiaaliyhtälötinterpolointidifferentiaaliyhtälöt
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Higher Order Sobolev-Type Spaces on the Real Line

2014

This paper gives a characterization of Sobolev functions on the real line by means of pointwise inequalities involving finite differences. This is also shown to apply to more general Orlicz-Sobolev, Lorentz-Sobolev, and Lorentz-Karamata-Sobolev spaces.

PointwiseMathematics::Functional AnalysisArticle SubjectReal analysislcsh:Mathematicsta111Mathematical analysisMathematics::Analysis of PDEsFinite differencelcsh:QA1-939Sobolev inequalitySobolev spaceInterpolation spaceSobolev functionsBirnbaum–Orlicz spaceReal lineAnalysisMathematicsJournal of Function Spaces
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