Fourier transforms on an amalgam type space

Details Fourier transforms on an amalgam type space Fourier transforms on an amalgam type space

2012-04-23

arxiv.org/abs/1204.5157v1

Mathematics

Classical Analysis and ODEs

10 pages

Scientific paper

We introduce an amalgam type space, a subspace of $L^1(\mathbb R_+).$
Integrability results for the Fourier transform of a function with the
derivative from such an amalgam space are proved. As an application we obtain
estimates for the integrability of trigonometric series.

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