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 - <p style="text-align: justify;">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.</p>