Grand Variable Herz-Morrey Type Besove Spaces and Triebel-Lizorkin Spaces
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i3.6274Keywords:
Grand variable Herz-Morrry space, Besov space, Triebel Lizorkin space, maximal operatorAbstract
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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Copyright (c) 2025 Mehvish Sultan, Babar Sultan, Ioan-Lucian Popa
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