@Article{ATA-38-204, author = {Le , Hung Viet}, title = {Weighted Norm Inequalities for Marcinkiewicz Integrals with Non-Smooth Kernels on Spaces of Homogeneous Type}, journal = {Analysis in Theory and Applications}, year = {2022}, volume = {38}, number = {2}, pages = {204--231}, abstract = {

In this article, we obtain some weighted estimates for Marcinkiewicz integrals with non-smooth kernels on spaces of homogeneous type. The weight $\omega$ considered here belongs to the Muckenhoupt’s class $A_∞.$ Moreover, weighted estimates for commutators of BMO functions and Marcinkiewicz integrals are also given.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2019-0011}, url = {http://global-sci.org/intro/article_detail/ata/20799.html} }