The Boundedness of Marcinkiewicz Integrals on Grand Variable Herz Spaces
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@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} }
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 -
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.
Xiao , Dan and Shu , Lisheng. (2023). The Boundedness of Marcinkiewicz Integrals on Grand Variable Herz Spaces.
Analysis in Theory and Applications. 39 (2).
163-177.
doi:10.4208/ata.OA-2021-0007
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