@Article{JMS-54-3,
author = {Long, Huang and Yang, Dachun},
title = {On Function Spaces with Mixed Norms — A Survey},
journal = {Journal of Mathematical Study},
year = {2021},
volume = {54},
number = {3},
pages = {262--336},
abstract = {<p style="text-align: justify;">The targets of this article are threefold. The first one is to give a survey on the
recent developments of function spaces with mixed norms, including mixed Lebesgue
spaces, iterated weak Lebesgue spaces, weak mixed-norm Lebesgue spaces and mixed
Morrey spaces as well as anisotropic mixed-norm Hardy spaces. The second one is
to provide a detailed proof for a useful inequality about mixed Lebesgue norms and
the Hardy–Littlewood maximal operator and also to improve some known results on
the maximal function characterizations of anisotropic mixed-norm Hardy spaces and
the boundedness of Calderón–Zygmund operators from these anisotropic mixed-norm Hardy spaces to themselves or to mixed Lebesgue spaces. The last one is to correct
some errors and seal some gaps existing in the known articles.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v54n3.21.03},
url = {https://global-sci.com/article/87678/on-function-spaces-with-mixed-norms-a-survey}
}