6533b7d7fe1ef96bd1269129
RESEARCH PRODUCT
A remark on differentiable functions with partial derivatives in Lp
Cristina Di BariCalogero Vetrosubject
Change of variablesPure mathematicsPolish groupApplied MathematicsMathematical analysisNull set or empty setReal-valued functionHaar nullPartial derivativeAlmost everywhereCoarea formulaDifferentiable functionAnalysisMathematicsdescription
AbstractWe consider a definition of p,δ-variation for real functions of several variables which gives information on the differentiability almost everywhere and the absolute integrability of its partial derivatives on a measurable set. This definition of p,δ-variation extends the definition of n-variation of Malý and the definition of p-variation of Bongiorno. We conclude with a result of change of variables based on coarea formula.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-11-01 |