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A Remark on Weighted (Lp,Lr)-Boundedness for Rough Multilinear Oscillatory Singular Integrals

A Remark on Weighted $(L^p ,L^r )$-Boundedness for Rough Multilinear Oscillatory Singular Integrals

Year:    2023

Author:    Weijin Yan

Journal of Mathematical Study, Vol. 56 (2023), Iss. 4 : pp. 391–410

Abstract

This paper studies the weighted (Lp,Lr)-boundedness for a class of multilinear oscillatory singular operators with real-valued polynomial phases and rough homogeneous kernels belonging to Llog+L(Sn1), 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.

Author Details

Weijin Yan Email