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arXiv · 1901.02924

On the translation invariant operators in $\ell^p(\mathbb{Z}^d)$

Bechir Amri·Khawla Kerfaf
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Abstract

In this paper we study boundedness of translation invariant operators in the discrete space $\ell^p(\mathbb{Z}^d)$. In this context a Mikhlin type multiplier theorem is given, yielding boundedness for certain known operators . We also give $\ell^p-\ell^q$ boundedness of a discrete wave equation.

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Bechir Amri, Khawla Kerfaf. 2019-01-09. On the translation invariant operators in $\ell^p(\mathbb{Z}^d)$. https://arxiv.org/abs/1901.02924

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