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Continuity of the maximal operator in Sobolev spaces
Hannes Luirosubject
Sobolev spaceMathematics::Functional AnalysisPure mathematicsApplied MathematicsGeneral MathematicsMathematical analysisMathematics::Classical Analysis and ODEsMaximal operatorMaximal functionDerivativeSobolev inequalityMathematicsdescription
We establish the continuity of the Hardy-Littlewood maximal operator on Sobolev spaces W 1,p (R n ), 1 < p < ∞. As an auxiliary tool we prove an explicit formula for the derivative of the maximal function.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-06-30 | Proceedings of the American Mathematical Society |