Maximal estimates for averages over space curves
pith:TREPNGYHopen to challenge →
classification
math.CA
keywords
maximalassociatedaveragesboundedcurvaturecurvecurvesestimates
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Let $M$ be the maximal operator associated to a smooth curve in $\mathbb R^3$ which has nonvanishing curvature and torsion. We prove that $M$ is bounded on $L^p$ if and only if $p>3$.
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