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Uniform estimates for the Hilbert transform along certain variable curves

  • Speaker: Renhui WAN (Nanjing Normal University)

  • Time: Nov 24, 2022, 09:00-10:00

  • Location: Tencent Meeting ID 762-8544-4212

Abstract

In this talk, we investigate the Hilbert transform along a class of variable non-flat polynomial curves and prove uniform $L^p$-boundedness for $1<p<\infty$. The uniform is in a sense that the bounds depend only on the degree of the given polynomial.