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arXiv · 2510.07260

Multiplication operators on amalgam of $l^{q), \theta}$ and $L^{p}$

Monika Singh·Jitendra Kumar
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Abstract

We define the grand amalgam Lebesgue function space $l^{q), \theta}(L^p),$ and study the fundamental structural properties of the space, including completeness. Then we define the small Lebesgue sequence space and study its function space properties. Furthermore, we prove a version of the H\"{o}lders inequality on the frame work of these spaces. Finally, we study the multiplication operator in the setting of these spaces.

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Monika Singh, Jitendra Kumar. 2025-10-08. Multiplication operators on amalgam of $l^{q), \theta}$ and $L^{p}$. https://arxiv.org/abs/2510.07260

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