Maximal estimates for averages over space curves

Hyerim Ko; Sanghyuk Lee; Sewook Oh

doi:10.1007/s00222-021-01094-6

Maximal estimates for averages over space curves

Hyerim Ko
, Sanghyuk Lee^*
, Sewook Oh

^*Corresponding author for this work

Department of Mathematics

Seoul National University

Research output: Contribution to journal › Journal article › peer-review

17 Scopus citations

Abstract

Let M be the maximal operator associated to a smooth curve in R³ which has nonvanishing curvature and torsion. We prove that M is bounded on L^p if and only if p> 3.

Original language	English
Pages (from-to)	991-1035
Number of pages	45
Journal	Inventiones Mathematicae
Volume	228
Issue number	2
DOIs	https://doi.org/10.1007/s00222-021-01094-6
State	Published - 2022.05

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title = "Maximal estimates for averages over space curves",

abstract = "Let M be the maximal operator associated to a smooth curve in R3 which has nonvanishing curvature and torsion. We prove that M is bounded on Lp if and only if p> 3.",

author = "Hyerim Ko and Sanghyuk Lee and Sewook Oh",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2022",

month = may,

doi = "10.1007/s00222-021-01094-6",

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AU - Ko, Hyerim

AU - Lee, Sanghyuk

AU - Oh, Sewook

PY - 2022/5

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N2 - Let M be the maximal operator associated to a smooth curve in R3 which has nonvanishing curvature and torsion. We prove that M is bounded on Lp if and only if p> 3.

AB - Let M be the maximal operator associated to a smooth curve in R3 which has nonvanishing curvature and torsion. We prove that M is bounded on Lp if and only if p> 3.

UR - https://www.scopus.com/pages/publications/85123075212

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DO - 10.1007/s00222-021-01094-6

M3 - Journal article

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VL - 228

SP - 991

EP - 1035

JO - Inventiones Mathematicae

JF - Inventiones Mathematicae

IS - 2

ER -

Maximal estimates for averages over space curves

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