Boundedness of Marcinkiewicz Integrals in Weighted Variable Exponent Herz-Morrey Spaces
Commun. Math. Res., 34 (2018), pp. 371-382.
Published online: 2019-12
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@Article{CMR-34-371,
author = {Xiao , Dan and Shu , Lisheng},
title = {Boundedness of Marcinkiewicz Integrals in Weighted Variable Exponent Herz-Morrey Spaces},
journal = {Communications in Mathematical Research },
year = {2019},
volume = {34},
number = {4},
pages = {371--382},
abstract = {
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.
}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.04.10}, url = {http://global-sci.org/intro/article_detail/cmr/13513.html} }
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 -
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.
Dan Xiao & Lisheng Shu. (2019). Boundedness of Marcinkiewicz Integrals in Weighted Variable Exponent Herz-Morrey Spaces.
Communications in Mathematical Research . 34 (4).
371-382.
doi:10.13447/j.1674-5647.2018.04.10
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