A RESTRICTION ESTIMATE IN R3 USING BROOMS

Hong Wang

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)1749-1822
Number of pages74
JournalDuke Mathematical Journal
Volume171
Issue number8
DOIs
StatePublished - Jun 1 2022

ASJC Scopus subject areas

  • General Mathematics

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