@Article{ATA-38-361, author = {Wang , Hua}, title = {Some Estimates for $θ$-Type Calderόn–Zygmund Operators and Linear Commutators on Certain Weighted Amalgam Spaces}, journal = {Analysis in Theory and Applications}, year = {2023}, volume = {38}, number = {4}, pages = {361--393}, abstract = {

In this paper, we first introduce some new kinds of weighted amalgam spaces. Then we discuss the strong type and weak type estimates for a class of Calderόn–Zygmund type operators $T_θ$ in these new weighted spaces. Furthermore, the strong type estimate and endpoint estimate of linear commutators $[b, T_θ]$ formed by $b$ and $T_θ$ are established. Also we study related problems about two-weight, weak type inequalities for $T_θ$ and $[b, T_θ]$ in the weighted amalgam spaces and give some results.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2020-0034}, url = {http://global-sci.org/intro/article_detail/ata/21355.html} }