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Integral bounds for simple partial fractions
Authors:I R Kayumov
Institution:1.Kazan (Volga Region) Federal University,Kazan,Russia
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.
Keywords:
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