TY - JOUR
T1 - A Remark on Weighted $(L^p ,L^r )$-Boundedness for Rough Multilinear Oscillatory Singular Integrals
AU - Yan , Weijin
JO - Journal of Mathematical Study
VL - 4
SP - 391
EP - 410
PY - 2023
DA - 2023/12
SN - 56
DO - http://doi.org/10.4208/jms.v56n4.23.06
UR - https://global-sci.org/intro/article_detail/jms/22315.html
KW - Multilinear oscillatory singular integrals, rough kernel, BLO function, weight.
AB - <p style="text-align: justify;">This paper studies the weighted $(L^p
,L^r)$-boundedness for a class of multilinear oscillatory singular operators with real-valued polynomial phases and rough
homogeneous kernels belonging to $L{\rm log}^+L(S^{ n−1}),$ and establishes two criteria on the
corresponding weighted bounds for such operators.</p>