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arXiv · 2502.13554

Grand variable Herz-Morrey type Besove spaces and Triebel-Lizorkin spaces

Mehvish Sultan·Babar Sultan
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Abstract

In the article, the boundedness of vector-valued sublinear operators in grand variable Herz-Morrey spaces $M \dot{K}_{ \lambda, p(\cdot)}^{\eta (\cdot), q), \theta}\left(\mathbb{R}^{n}\right)$ are obtained. Then grand variable Herz-Morrey type Besov and Triebel-Lizorkin spaces are defined. We will also prove the equivalent quasi-norms by Peetre's maximal operators in these spaces.

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Mehvish Sultan, Babar Sultan. 2025-02-19. Grand variable Herz-Morrey type Besove spaces and Triebel-Lizorkin spaces. https://arxiv.org/abs/2502.13554

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