Parameterized Littlewood-Paley Operators on Weighted Herz Spaces
Anal. Theory Appl., 33 (2017), pp. 301-315.
Published online: 2017-11
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@Article{ATA-33-301,
author = {Yueshan Wang and Aiqing Chen},
title = {Parameterized Littlewood-Paley Operators on Weighted Herz Spaces},
journal = {Analysis in Theory and Applications},
year = {2017},
volume = {33},
number = {4},
pages = {301--315},
abstract = {
The strong type and weak type estimates of parameterized Littlewood-Paley operators on the weighted Herz spaces $\dot{K}^{α,p}_q (ω_1 ,ω_2)$ are considered. The boundedness of the commutators generated by BMO functions and parameterized Littlewood-Paley operators are also obtained.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2017.v33.n4.1}, url = {http://global-sci.org/intro/article_detail/ata/10698.html} }
TY - JOUR
T1 - Parameterized Littlewood-Paley Operators on Weighted Herz Spaces
AU - Yueshan Wang & Aiqing Chen
JO - Analysis in Theory and Applications
VL - 4
SP - 301
EP - 315
PY - 2017
DA - 2017/11
SN - 33
DO - http://doi.org/10.4208/ata.2017.v33.n4.1
UR - https://global-sci.org/intro/article_detail/ata/10698.html
KW - Parameterized Littlewood-Paley operator, Herz space, weak Herz space, BMO, commutator, Muckenhoupt weight.
AB -
The strong type and weak type estimates of parameterized Littlewood-Paley operators on the weighted Herz spaces $\dot{K}^{α,p}_q (ω_1 ,ω_2)$ are considered. The boundedness of the commutators generated by BMO functions and parameterized Littlewood-Paley operators are also obtained.
Yueshan Wang and Aiqing Chen. (2017). Parameterized Littlewood-Paley Operators on Weighted Herz Spaces.
Analysis in Theory and Applications. 33 (4).
301-315.
doi:10.4208/ata.2017.v33.n4.1
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