TY - JOUR
T1 - Boundedness of Marcinkiewicz Integrals in Weighted Variable Exponent Herz-Morrey Spaces
AU - Xiao , Dan
AU - Shu , Lisheng
JO - Communications in Mathematical Research 
VL - 4
SP - 371
EP - 382
PY - 2019
DA - 2019/12
SN - 34
DO - http://doi.org/10.13447/j.1674-5647.2018.04.10
UR - https://global-sci.org/intro/article_detail/cmr/13513.html
KW - Marcinkiewicz integral, variable exponent, Muckenhoupt weight, Herz-Morrey
space
AB - <p style="text-align: justify;">In this paper, under natural regularity assumptions on the exponent
function, we prove some boundedness results for the functions of Littlewood-Paley,
Lusin and Marcinkiewicz on a new class of generalized Herz-Morrey spaces with weight
and variable exponent, which essentially extends some known results.</p>