𝐿^{𝑝} improving bounds for averages along curves

Tao, Terence; Wright, James

doi:10.1090/S0894-0347-03-00420-X

$L^p$ improving bounds for averages along curves
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by Terence Tao and James Wright;

J. Amer. Math. Soc. 16 (2003), 605-638

DOI: https://doi.org/10.1090/S0894-0347-03-00420-X

Published electronically: January 28, 2003

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Abstract:

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

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$L^p$ improving bounds for averages along curves
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Abstract: