Decay rate of multilinear oscillatory integral operators in $\mathbb {R}^2$
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- by Aleksandra Niepla, Kevin O’Neill and Zhen Zeng PDF
- Proc. Amer. Math. Soc. 148 (2020), 1689-1695 Request permission
Abstract:
In this paper, we prove $L^p$ decay estimates for multilinear oscillatory integrals in $\mathbb {R}^2$, establishing sharpness through a scaling argument. The result in this paper is a generalization of previous work by Gressman and Xiao [J. Funct. Anal. 271 (2016), pp. 3695–3726].References
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Additional Information
- Aleksandra Niepla
- Affiliation: Department of Mathematics, 310 Malott Hall, Cornell University, Ithaca, New York 14853
- Email: an489@cornell.edu
- Kevin O’Neill
- Affiliation: Department of Mathematics, University of California, Berkeley, California 94720-3840
- MR Author ID: 1013580
- Email: oneill@math.berkeley.edu
- Zhen Zeng
- Affiliation: Department of Mathematics, David Rittenhouse Lab, 209 South 33rd Street, Philadelphia, Pennsylvania 19104-6395
- Email: zhenzeng@math.upenn.edu
- Received by editor(s): April 5, 2019
- Received by editor(s) in revised form: September 6, 2019
- Published electronically: December 30, 2019
- Additional Notes: This material was based upon work supported by the National Science Foundation under Grant Number DMS 1641020.
- Communicated by: Ariel Barton
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 1689-1695
- MSC (2010): Primary 42A99
- DOI: https://doi.org/10.1090/proc/14857
- MathSciNet review: 4069206