In the article, the boundedness of vector-valued sublinear operators in grand variable Herz-Morrey spaces MK˙λ,p(⋅)η(⋅),q),θ(Rn) 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.
@article{arxiv.2502.13554,
title = {Grand variable Herz-Morrey type Besove spaces and Triebel-Lizorkin spaces},
author = {Mehvish Sultan and Babar Sultan},
journal= {arXiv preprint arXiv:2502.13554},
year = {2025}
}