TY - JOUR
T1 - $L^p$ Bounds for the Commutators of Rough Singular Integrals Associated with Surfaces of Revolution
AU - Z. Niu, K. Zhu & Y. Chen
JO - Analysis in Theory and Applications
VL - 2
SP - 176
EP - 183
PY - 2017
DA - 2017/04
SN - 31
DO - http://doi.org/10.4208/ata.2015.v31.n2.7
UR - https://global-sci.org/intro/article_detail/ata/4632.html
KW - Commutator, singular integral, surface of revolution, rough kernel.
AB - <p style="text-align: justify;">In this paper, we establish the $L^p({\Bbb R}^{n+1} )$ boundedness for the commutators of singular integrals associated to surfaces of revolution, $\{(t,\phi(|t|)):t\in {\Bbb R}^{n}\}$, with rough kernels $\Omega\in L(\log L)^2({\Bbb S}^{n-1})$, if $\phi(|t|)=|t|$.</p>