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 -

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.