TY - JOUR
T1 - A RESTRICTION ESTIMATE IN R3 USING BROOMS
AU - Wang, Hong
N1 - Funding Information:
Acknowledgments. I would like to thank my advisor Larry Guth for his guidance and encouragement throughout this project. I would also like to thank Donghao Wang and Ruixiang Zhang for helpful discussion on Proposition 5.3. I would like to thank the anonymous referees for the thorough reading and for many writing suggestions that improved the presentation of this paper. I would like to also thank Susan Ruff and Shuanglin Shao for their writing advice. This research is partially supported by Larry Guth’s Simons Investigator Award and partially supported by National Science Foundation (Grant DMS-1638352) and the S.S. Chern Foundation for Mathematics Research Fund.
Publisher Copyright:
© 2022 Duke University Press. All rights reserved.
PY - 2022/6/1
Y1 - 2022/6/1
N2 - If f is a function supported on the truncated paraboloid in R3 and E is the corresponding extension operator, then we prove that for allp >3C3=13, kEf kLp.R3/ ≤ Ckf kL∞. The proof combines Wolff 's two ends argument with polynomial partitioning techniques. We also observe some geometric structures in the wave packets.
AB - If f is a function supported on the truncated paraboloid in R3 and E is the corresponding extension operator, then we prove that for allp >3C3=13, kEf kLp.R3/ ≤ Ckf kL∞. The proof combines Wolff 's two ends argument with polynomial partitioning techniques. We also observe some geometric structures in the wave packets.
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U2 - 10.1215/00127094-2021-0064
DO - 10.1215/00127094-2021-0064
M3 - Article
AN - SCOPUS:85132739281
SN - 0012-7094
VL - 171
SP - 1749
EP - 1822
JO - Duke Mathematical Journal
JF - Duke Mathematical Journal
IS - 8
ER -