New estimates for the Fourier transform in the space L2(Rn)
Resumo
In this paper, we prove new estimates are presented for the integral \int_{|t|>N}|\widehat(f)(t)|^{2}dt
, where \widehat(f) stands for the Fourier transform of f and N ≥ 1, in the space L2(Rn) characterized by the generalized modulus of continuity of the kth order constructed with the help of the generalized spherical mean operator.
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Referências
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