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SUMMARY:David Beltran (Madison)
DTSTART:20211101T210000Z
DTEND:20211101T220000Z
DTSTAMP:20260423T024555Z
UID:OARS/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OARS/27/">$L
 ^p$ bounds for the helical maximal function</a>\nby David Beltran (Madison
 ) as part of OARS Online Analysis Research Seminar\n\n\nAbstract\nA natura
 l 3-dimensional analogue of Bourgain’s circular maximal function theorem
  in the plane is the study of the sharp $L^p$ bounds in $\\mathbb{R}^3$ fo
 r the maximal function associated with averages over dilates of the helix 
 (or\, more generally\, of any curve with non-vanishing curvature and torsi
 on). In this talk\, we present a sharp result\, which establishes that $L^
 p$ bounds hold if and only if $p>3$. This is joint work with Shaoming Guo\
 , Jonathan Hickman and Andreas Seeger.\n
LOCATION:https://researchseminars.org/talk/OARS/27/
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