@article{Wang2025, 
author = {Yixiang Wang and Jiang Zhou},
title = {B          σ      -grand Morrey spaces},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {11},
pages = {6865-6884},
keywords = {grand Lebesgue space, Bσ type space, extrapolation theory, BMO space},
url = {https://www.sciopen.com/article/10.3934/era.2025303},
doi = {10.3934/era.2025303},
abstract = {In this paper, we define the        B          σ      -type grand Morrey spaces and establish the extrapolation theorem on the        B          σ      -type grand Morrey spaces. In the process of proving the theorem, we find that the predual spaces of these spaces are        H          σ      -block spaces and obtain the boundedness of the Hardy–Littlewood maximal operator on the predual spaces. By the extrapolation theory, the boundedness of the Calderón–Zygmund operator and commutators on the nonhomogeneous        B          σ      -type grand Morrey space is also obtained. In particular, the classical bounded mean oscillation (BMO) spaces are characterized by establishing the John–Nirenberg inequality on the nonhomogeneous        B          σ       type grand Morrey space.}
}