@Article{ATA-38-2, author = {Viet, Le, Hung}, 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 = {https://global-sci.com/article/73751/weighted-norm-inequalities-for-marcinkiewicz-integrals-with-non-smooth-kernels-on-spaces-of-homogeneous-type} }