TY - JOUR
T1 - Boundedness of Multilinear Oscillatory Singular Integral on Weighted Weak Hardy Spaces
AU - Yali Pan , 
AU - Li , Changwen
JO - Analysis in Theory and Applications
VL - 4
SP - 373
EP - 380
PY - 2017
DA - 2017/10
SN - 31
DO - http://doi.org/10.4208/ata.2015.v31.n4.3
UR - https://global-sci.org/intro/article_detail/ata/4645.html
KW - Multilinear oscillatory singular integral, $A_1(\mathbb{R}^n)$, weighted weak Hardy space.
AB - <p style="text-align: justify;">In this paper, by using the atomic decomposition of the weighted weak Hardy space $WH_\omega^1(\mathbb{R}^n)$, the authors discuss a class of multilinear oscillatory singular integrals and obtain their boundedness from the weighted weak Hardy space $WH_\omega^1(\mathbb{R}^n)$ to the weighted weak Lebesgue space $WL_\omega^1(\mathbb{R}^n)$ for $\omega\in A_1(\mathbb{R}^n)$.</p>