Research Output
Some Subcritical Estimates for the â„“p-Improving Problem for Discrete Curves
  We apply Christ’s method of refinements to the â„“^p-improving problem for discrete averages AN 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→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 ϵ-loss.

  • Type:

    Article

  • Date:

    05 August 2022

  • Publication Status:

    Published

  • Publisher

    Springer Science and Business Media LLC

  • DOI:

  • Cross Ref:

    10.1007/s00041-022-09958-y

  • ISSN:

    1069-5869

  • Funders:

    Historic Funder (pre-Worktribe)

Citation

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Dendrinos, S., Hughes, K., & Vitturi, M. (2022). Some Subcritical Estimates for the â„“p-Improving Problem for Discrete Curves. Journal of Fourier Analysis and Applications, 28(4), Article 69. https://doi.org/10.1007/s00041-022-09958-y

Authors

Keywords

Averages along curves, â„“p -improving, Diophantine equations

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