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SUMMARY:Lars Becker (Bonn)
DTSTART:20231003T180000Z
DTEND:20231003T190000Z
DTSTAMP:20260423T040044Z
UID:OARS/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OARS/50/">Ma
 ximal modulations of singular Radon transforms</a>\nby Lars Becker (Bonn) 
 as part of OARS Online Analysis Research Seminar\n\n\nAbstract\nCarleson's
  theorem on the convergence of Fourier series is\nequivalent to the weak-$
 L^2$-boundedness of the maximally modulated\nHilbert transform\, and adapt
 ions of the proof show more generally\nweak-$L^2$-boundedness of maximally
  modulated Calderón-Zygmund operators.\nThis talk is about the open probl
 em of whether this result can be extended\nto singular Radon transforms\, 
 such as the Hilbert transform along the\nparabola $H_P$. I will discuss th
 e main ingredients used in the proof of\nCarleson's theorem\, and to what 
 extent they can be adapted for $H_P$. A\ncorollary are improved quantitati
 ve estimates for maximal modulations of\noperators approximating $H_P$.\n
LOCATION:https://researchseminars.org/talk/OARS/50/
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