2 papers
math.CA2020
Some subcritical estimates for the -improving problem for discrete curves
Spyridon Dendrinos, Kevin Hughes, Marco Vitturi
We apply Christ's method of refinements to the -improving problem for discrete averages along polynomial curves in . Combined with certain ele…
math.CA2017
Uniform bounds for convolution and restricted X-ray transforms along degenerate curves
Spyridon Dendrinos, Betsy Stovall
We establish endpoint Lebesgue space bounds for convolution and restricted X-ray transforms along curves satisfying fairly minimal differentiability hypotheses, with affine and Euc…