The Weighted $L^p$-Boundedness for a Class of Multilinear Oscillatory Singular Integrals Related to Block Spaces

The Weighted $L^p$-Boundedness for a Class of Multilinear Oscillatory Singular Integrals Related to Block Spaces

Year:    2024

Author:    Huoxiong Wu, Weijin Yan

Analysis in Theory and Applications, Vol. 40 (2024), Iss. 2 : pp. 172–190

Abstract

This paper obtains a criterion on the weighted $L^p$-boundedness for a class of multilinear oscillatory singular operators with real-valued polynomial phases and rough kernels belonging to the block spaces.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.OA-2022-0022

Analysis in Theory and Applications, Vol. 40 (2024), Iss. 2 : pp. 172–190

Published online:    2024-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Multilinear oscillatory integrals block space BMO function radial weights.

Author Details

Huoxiong Wu

Weijin Yan