On necessary condition for the variable exponent Hardy inequality (Q416320)
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scientific article; zbMATH DE number 6032359
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On necessary condition for the variable exponent Hardy inequality |
scientific article; zbMATH DE number 6032359 |
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On necessary condition for the variable exponent Hardy inequality (English)
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10 May 2012
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Summary: We derive a necessary condition for exponent functions \(p, \beta\) such that the variable exponent Hardy inequality \(||x^{\beta(x)-1} \int^x_0 f(t)dt||_{L^{p(.)}(0,l)} \leq C||x^{\beta(x)} f||_{L^{p(\dot)}(0,l)}\) holds.
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