Maximal estimates for averages over space curves

• 成果类型: Article
• 署名作者: Ko, Hyerim; Lee, Sanghyuk; Oh, Sewook
• 署名单位: Seoul National University (SNU)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-021-01094-6
• 发表日期: 2022
• 页码: 991-1035
• 关键词: l-p; RESTRICTION; bounds; PROOF

摘要

Let M be the maximal operator associated to a smooth curve in R-3 which has nonvanishing curvature and torsion. We prove that M is bounded on L-p if and only if p > 3.