TY - JOUR T1 - Commutators of Littlewood-Paley Operators on Herz Spaces with Variable Exponent JO - Analysis in Theory and Applications VL - 2 SP - 149 EP - 163 PY - 2016 DA - 2016/04 SN - 32 DO - http://doi.org/10.4208/ata.2016.v32.n2.4 UR - https://global-sci.org/intro/article_detail/ata/4661.html KW - Herz space, variable exponent, commutator, area integral, Littlewood-Paley $g_\lambda^\ast$ function. AB -

Let $\Omega\in L^2(\mathrm{S}^{n-1})$ be homogeneous function of degree zero and $b$ be BMO functions. In this paper, we obtain some boundedness of the Littlewood-Paley Operators and their higher-order commutators on Herz spaces with variable exponent.