𝐿^{𝑝} improving bounds for averages along curves

Tao, Terence¹ ; Wright, James²

¹ Department of Mathematics, University of California, Los Angeles, Los Angeles, California 90095-1555
² School of Mathematics, University of Edinburgh, JCMB, King’s Buildings, Mayfield Road, Edinburgh EH9 3JZ, Scotland

Journal of the American Mathematical Society, Tome 16 (2003) no. 3, pp. 605-638

Résumé

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

Détail

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

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