𝐿^{𝑝} improving bounds for averages along curves

  • Tao T
  • Wright J
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Abstract

We establish local ( L p , L q ) (L^p,L^q) mapping properties for averages on curves. The exponents are sharp except for endpoints.

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Tao, T., & Wright, J. (2003). 𝐿^{𝑝} improving bounds for averages along curves. Journal of the American Mathematical Society, 16(3), 605–638. https://doi.org/10.1090/s0894-0347-03-00420-x

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