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arXiv · 1204.5157

Fourier transforms on an amalgam type space

E. Liflyand
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Abstract

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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E. Liflyand. 2012-04-23. Fourier transforms on an amalgam type space. https://arxiv.org/abs/1204.5157

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