6533b86ffe1ef96bd12cd44d

RESEARCH PRODUCT

Higher Order Sobolev-Type Spaces on the Real Line

Juha KinnunenThomas ZürcherThomas ZürcherBogdan Bojarski

subject

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

description

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.

yearjournalcountryeditionlanguage
2014-01-01Journal of Function Spaces
https://doi.org/10.1155/2014/261565