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SUMMARY:Aleksandar Bulj (University of Zagreb)
DTSTART:20241015T180000Z
DTEND:20241015T190000Z
DTSTAMP:20260423T005721Z
UID:OARS/61
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OARS/61/">Po
 wers of unimodular homogeneous multipliers</a>\nby Aleksandar Bulj (Univer
 sity of Zagreb) as part of OARS Online Analysis Research Seminar\n\n\nAbst
 ract\nWe study asymptotically sharp estimates for the $L^p\\to L^p$ norms 
 of multipliers associated with unimodular homogeneous symbols of degree 0\
 , i.e. multipliers associated with symbols $\\xi\\mapsto \\exp(i\\lambda\\
 Phi(\\xi/|\\xi|))$\, where $\\lambda$ is a real number and $\\Phi \\in C^{
 \\infty}(S^{n-1})$.\nWe show that that the powers of a generic multiplier 
 in that class exhibit asymptotically maximal order of growth. As a consequ
 ence\, we disprove Maz'ya's conjecture regarding the asymptotically sharp 
 estimates of such multipliers in all dimensions and solve the problem pose
 d by Dragicevic\, Petermichl\, and Volberg concerning the sharp lower esti
 mate of a certain multiplier falling within the mentioned class.\n
LOCATION:https://researchseminars.org/talk/OARS/61/
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