\(L_p\)-\(L_q\) estimates for the Bochner-Riesz operator of complex order (Q1811429)

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scientific article; zbMATH DE number 1925959
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\(L_p\)-\(L_q\) estimates for the Bochner-Riesz operator of complex order
scientific article; zbMATH DE number 1925959

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    \(L_p\)-\(L_q\) estimates for the Bochner-Riesz operator of complex order (English)
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    2002
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    The Bochner-Riesz operators \(B^\alpha \) are studied for complex \(\alpha \) with \(0< \operatorname{Re} \alpha < (n+1)/2\). Sufficient conditions are found under which the operator \(B^\alpha \) is a bounded operator from \(L_p\) to \(L_q\).
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    Bochner-Riesz operator
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