Integral bounds for simple partial fractions |
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Authors: | I R Kayumov |
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Institution: | 1.Kazan (Volga Region) Federal University,Kazan,Russia |
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Abstract: | For p ≥ 2 we obtain bounds for L
p
-norms of the Fourier transform of real parts of simple partial fractions. For even p our estimate is sharp. We also prove a new inequality for L
p
-norms of simple partial fractions which in some cases is stronger than the corresponding inequality obtained by V. Yu. Protasov. |
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Keywords: | |
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