Mixed means for centered and uncentered averaging operators over spheres and related results (Q958853)
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scientific article; zbMATH DE number 5379942
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mixed means for centered and uncentered averaging operators over spheres and related results |
scientific article; zbMATH DE number 5379942 |
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Mixed means for centered and uncentered averaging operators over spheres and related results (English)
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9 December 2008
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The author derives and discusses the mixed-mean inequalities for integral power means over centred and uncentred spheres. In addition, the associated Hardy-type inequalities corresponding to the operators \({\mathcal S}^{c}_{\delta,\alpha}\) and \({\mathcal S}^{\text{unc}}_{\delta,\alpha}\) defined on the collection of centred and uncentred spheres are equally derived.
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Mixed means
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integral power mean
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power weights
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centred and uncentred spheres
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polar coordinates
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Hardy's inequality
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Carleman's inequality
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spherical maximal functions
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lower bounds for operator norms
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