TY - JOUR T1 - Some Estimates for $θ$-Type Calderόn–Zygmund Operators and Linear Commutators on Certain Weighted Amalgam Spaces AU - Wang , Hua JO - Analysis in Theory and Applications VL - 4 SP - 361 EP - 393 PY - 2023 DA - 2023/01 SN - 38 DO - http://doi.org/10.4208/ata.OA-2020-0034 UR - https://global-sci.org/intro/article_detail/ata/21355.html KW - $θ$-type Calderόn–Zygmund operators, commutators, weighted amalgam spaces, Muckenhoupt weights, Orlicz spaces. AB -

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.