Reverse Hölder's inequality for spherical harmonics (Q2790180)

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scientific article; zbMATH DE number 6549107
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Reverse Hölder's inequality for spherical harmonics
scientific article; zbMATH DE number 6549107

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    3 March 2016
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    spherical harmonics
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    polynomial inequalities
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    restriction theorems
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    Pitt inequality
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    Reverse Hölder's inequality for spherical harmonics (English)
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    The paper under review improves some estimates on spherical harmonics. The idea of proofs was to construct a sequence of linear operators with some specific properties allowing to deduce their results. The authors use their results to show that the restriction theorem holds for a wider class of functions as well as to improve the sharp Pitt inequalities.
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