A property of L-L integral transformations (Q1056858)
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scientific article; zbMATH DE number 3895635
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A property of L-L integral transformations |
scientific article; zbMATH DE number 3895635 |
Statements
A property of L-L integral transformations (English)
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1984
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The author considers integral transformations of the form \(F(x)=\int^{\infty}_{0}G(x,y)f(y)dy\) where f is defined on [0,\(\infty]\) and G is defined on [0,\(\infty)\times [0,\infty)\). The main result is that there is no identity transformation of this type for the space of Lebesgue integrable functions.
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L-L integral transformation
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absolutely continuity of integrals
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Lebesgue measurable
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Lebesgue points
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identity transformation
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