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arXiv · 2502.13517

Generalised Morrey sequence spaces

Dorothee D. Haroske·Leszek Skrzypczak
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Abstract

Generalised Morrey (function) spaces enjoyed some interest recently and found applications to PDE. Here we turn our attention to their discrete counterparts. We define generalised Morrey sequence spaces $m_{\varphi,p}=m_{\varphi,p}(\mathbb{Z}^d)$. They are natural generalisations of the classical Morrey sequence spaces $m_{u,p}$, $0<p\le u<\infty$, which were studied earlier. We consider some basic features of the spaces as well as embedding properties such as continuity, compactness and strict singularity.

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Dorothee D. Haroske, Leszek Skrzypczak. 2025-02-19. Generalised Morrey sequence spaces. https://arxiv.org/abs/2502.13517

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