A Remark on Weighted $(L^p ,L^r )$-Boundedness for Rough Multilinear Oscillatory Singular Integrals
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@Article{JMS-56-391,
author = {Yan , Weijin},
title = {A Remark on Weighted $(L^p ,L^r )$-Boundedness for Rough Multilinear Oscillatory Singular Integrals},
journal = {Journal of Mathematical Study},
year = {2023},
volume = {56},
number = {4},
pages = {391--410},
abstract = {
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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v56n4.23.06}, url = {http://global-sci.org/intro/article_detail/jms/22315.html} }
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.
Weijin Yan. (2023). A Remark on Weighted $(L^p ,L^r )$-Boundedness for Rough Multilinear Oscillatory Singular Integrals.
Journal of Mathematical Study. 56 (4).
391-410.
doi:10.4208/jms.v56n4.23.06
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