\(L^{p,q}\) inequalities for the modified Hardy operator (Q1330820)
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scientific article; zbMATH DE number 617090
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^{p,q}\) inequalities for the modified Hardy operator |
scientific article; zbMATH DE number 617090 |
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\(L^{p,q}\) inequalities for the modified Hardy operator (English)
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11 August 1994
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Let \(u\) be a positive function and let \(Hf(x)= \int^ \infty_ x f(s) u(s) ds\), be a ``modified Hardy operator''. The author gives conditions for \(H\) to be bounded between weighted \(L(p,q)\) spaces extending previous work by \textit{E. Sawyer} [Trans. Am. Math. Soc. 281, 329-337 (1984; Zbl 0538.47020)].
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modified Hardy operator
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weighted \(L(p,q)\) spaces
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0.90228033
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0.89347756
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0.89269274
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0.89172506
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0.89051646
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0.8897863
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