@Article{ATA-39-163, author = {Xiao , Dan and Shu , Lisheng}, title = {The Boundedness of Marcinkiewicz Integrals on Grand Variable Herz Spaces}, journal = {Analysis in Theory and Applications}, year = {2023}, volume = {39}, number = {2}, pages = {163--177}, abstract = {

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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2021-0007}, url = {http://global-sci.org/intro/article_detail/ata/21821.html} }