TY - JOUR
T1 - The Boundedness of Marcinkiewicz Integrals on Grand Variable Herz Spaces
AU - Xiao , Dan
AU - Shu , Lisheng
JO - Analysis in Theory and Applications
VL - 2
SP - 163
EP - 177
PY - 2023
DA - 2023/06
SN - 39
DO - http://doi.org/10.4208/ata.OA-2021-0007
UR - https://global-sci.org/intro/article_detail/ata/21821.html
KW - Marcinkiewicz integrals, Herz spaces, variable exponent, grand spaces.
AB - <p style="text-align: justify;">Under some natural regularity assumptions on the exponent function, we obtain the boundedness of Marcinkiewicz integrals $\mu,$ $\mu^ρ_S$ and $\mu^{∗,ρ}_λ$ on grand variable Herz spaces. Our results enrich and improve some previous results in the literature.</p>