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arXiv · 2210.11303

Wiener amalgam spaces of quasianalytic ultradistributions

Pavel Dimovski·Bojan Prangoski
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Abstract

We define Wiener amalgam spaces of (quasi)analytic ultradistributions whose local components belong to a general class of translation and modulation invariant Banach spaces of ultradistributions and their global components are either weighted $L^p$ or weighted $\mathcal{C}_0$ spaces. We provide a discrete characterisation via so called uniformly concentrated partitions of unity. Finally, we study the complex interpolation method and we identify the strong duals for most of these Wiener amalgam spaces.

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Pavel Dimovski, Bojan Prangoski. 2022-10-20. Wiener amalgam spaces of quasianalytic ultradistributions. https://arxiv.org/abs/2210.11303

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