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arXiv · 1501.06513

Hardy--Littlewood inequalities for the Heckman--Opdam transform

Troels Roussau Johansen
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Abstract

We establish Hardy--Littlewood inequalities for the Heckman--Opdam transform associated to a general root datum $(\mathfrak{a},Σ,m)$ that generalizes an analogous result for the spherical Fourier transform on a Riemannian symmetric space of the non-compact type due to Eguchi and Kumahara. In particular we obtain a more precise Hausdorff--Young inequality that generalizes a recent result due to Narayanan, Pasquale, and Pusti.

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Troels Roussau Johansen. 2015-01-26. Hardy--Littlewood inequalities for the Heckman--Opdam transform. https://arxiv.org/abs/1501.06513

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