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 - <p style="text-align: justify;">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.</p>