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Solution of Luzin's category problem on the existence of a primitive function

✍ Scribed by D. D. Ilmuradov

Book ID
112474703
Publisher
Springer
Year
1994
Tongue
English
Weight
382 KB
Volume
46
Category
Article
ISSN
0041-5995

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On the Minimal Solution of the Problem o
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✍ Benedetto Bongiorno πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 82 KB

We characterize the primitives of the minimal extension of the Lebesgue integral which also integrates the derivatives of differentiable functions (called the Cintegral). 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