Multipliers for the generalized Riemann integral (Q1340569)
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scientific article; zbMATH DE number 703344
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multipliers for the generalized Riemann integral |
scientific article; zbMATH DE number 703344 |
Statements
Multipliers for the generalized Riemann integral (English)
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14 December 1994
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The problem of the nature of multipliers is considered for a generalized Riemann integral which is coordinate free and integrates the divergence of all differentiable vector fields over bounded sets having finite perimeter. It is shown that the pointwise product of integrable and Lipschitz functions is always integrable. This result is used to construct associated distributions.
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integrable functions
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multipliers
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generalized Riemann integral
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divergence
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differentiable vector fields
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pointwise product
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Lipschitz functions
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0.9589268
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0.9114007
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