TY - JOUR
T1 - Two Weighted $BMO$ Estimates for the Maximal Bochner-Riesz Commutator
AU - Dan Zou , 
AU - Xiaoli Chen , 
AU - Dongxiang Chen , 
JO - Analysis in Theory and Applications
VL - 2
SP - 120
EP - 127
PY - 2013
DA - 2013/06
SN - 29
DO - http://doi.org/10.4208/ata.2013.v29.n2.3
UR - https://global-sci.org/intro/article_detail/ata/4520.html
KW - Bochner-Riesz operator, commutator, weighted $BMO(\omega)$ space.
AB - <p style="text-align: justify;">In this note, the author prove that maximal Bochner-Riesz commutator $B^b_{\delta,\ast}$ generated by operator $B_{\delta,\ast}$ and &nbsp;function $b\in BMO(\omega)$ is a bounded operator from $L^{p}(\mu)$ into $L^{p}(\nu)$, where $\omega\in(\mu\nu^{-1})^{\frac{1}{p}},\mu,\nu\in A_p$ for $1 &lt; p &lt;\infty$. The proof relies heavily on the pointwise estimates for the sharp maximal function of the commutator $B^b_{\delta,\ast}$.</p>