Peer-Reviewed Journal Details
Mandatory Fields
Dendrinos, S; Hughes, K; Vitturi, M
Journal of Fourier Analysis and Applications
Some subcritical estimates for the l_p-improving problem for discrete curves
In Press
Optional Fields
We apply Christ's method of refi nements to the l_p-improving problem for discrete averages A_N along polynomial curves in Z^d. Combined with certain elementary estimates for the number of solutions to certain special systems of diophantine equations, we obtain some restricted weak-type p \to p' estimates for the averages A_N in the subcritical regime. The dependence on N of the constants here obtained is sharp, except maybe for an epsilon-loss.
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