TY - JOUR T1 - Boundedness of Commutators for Marcinkiewicz Integrals on Weighted Herz-Type Hardy Spaces JO - Analysis in Theory and Applications VL - 4 SP - 365 EP - 376 PY - 2011 DA - 2011/11 SN - 27 DO - http://doi.org/10.1007/s10049-011-0365-z UR - https://global-sci.org/intro/article_detail/ata/4608.html KW - Marcinkiewicz integral, commutator, weighted Herz space, Hardy space. AB -

In this paper, the authors study the boundedness of the operator $\mu^b_\Omega$, the commutator generated by a function $b \in \text{Lip}_\beta (\mathbf{R}^n)$ $(0<\beta<1)$ and the Marcinkiewicz integral $\mu_\Omega$ on weighted Herz-type Hardy spaces.