TY - JOUR T1 - Parameterized Littlewood-Paley Operators on Weighted Herz Spaces 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.