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RESEARCH PRODUCT
On the Minimal Solution of the Problem of Primitives
B. Bongiornosubject
Pure mathematicsApplied MathematicsModuloMathematical analysisRiemann integralLebesgue integrationWeak derivativeMultiplier (Fourier analysis)symbols.namesakeBounded variationsymbolsLocally integrable functionDifferentiable functionAnalysisMathematicsdescription
Abstract We characterize the primitives of the minimal extension of the Lebesgue integral which also integrates the derivatives of differentiable functions (called the C -integral). Then we prove that each BV function is a multiplier for the C -integral and that the product of a derivative and a BV function is a derivative modulo a Lebesgue integrable function having arbitrarily small L 1 -norm.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-11-01 | Journal of Mathematical Analysis and Applications |