Year: 2023
Author: Weijin Yan
Journal of Mathematical Study, Vol. 56 (2023), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v56n4.23.06
Journal of Mathematical Study, Vol. 56 (2023), Iss. 4 : pp. 391–410
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Multilinear oscillatory singular integrals rough kernel BLO function weight.