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arXiv · 1010.4305

Fourier Series and Transforms in Grand Lebesgue Spaces As an particular case - exponential Orlicz spaces

E. Ostrovsky·L. Sirota
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Abstract

In this article we investigate the Fourier series and transforms for the functions defined on the [-pi, pi]^ d or on the R^d and belonging to the (Bilateral) Grand Lebesgue Spaces. As a particular case we obtain some results about Fourier's transform in the so-called exponential Orlicz spaces. We construct also several examples to show the exactness of offered estimations.

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BibTeXRIS

E. Ostrovsky, L. Sirota. 2010-10-20. Fourier Series and Transforms in Grand Lebesgue Spaces As an particular case - exponential Orlicz spaces. https://arxiv.org/abs/1010.4305

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