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arXiv · 2508.00001

Norm On The Variable Mixed Space $ \ell^{q(\cdot)}(L^{p(\cdot)}) $

Reza Roohi Seraji
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Abstract

This paper aims to establish the norm properties of the variable mixed space $ \ell^{q(\cdot)}(L^{p(\cdot)}) $ when $ 1<q_-,p_-,q_+,p_+<\infty $. In this way, we address the open problem raised by Almeida and H\"{a}st\"{o}.

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Reza Roohi Seraji. 2025-06-17. Norm On The Variable Mixed Space $ \ell^{q(\cdot)}(L^{p(\cdot)}) $. https://arxiv.org/abs/2508.00001

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