Adjoint restriction estimates and scaling on spheres
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- by Bassam Shayya PDF
- Proc. Amer. Math. Soc. 132 (2004), 1517-1524 Request permission
Abstract:
We test the restriction conjecture, in its adjoint form, against a class of measures $\phi _\delta d\sigma$ on the sphere $\textbf {S}^{n-1}$. The densities $\phi _\delta$ are smoothed out characteristic functions of $\delta ^{a_2} \times \delta ^{a_3} \times \dots \times \delta ^{a_n}$ rectangular caps on $\textbf {S}^{n-1}$, where $a_2, a_3, \dots , a_n$ are fixed nonnegative numbers.References
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Additional Information
- Bassam Shayya
- Affiliation: Department of Mathematics, American University of Beirut, Beirut, Lebanon
- Email: bshayya@aub.edu.lb
- Received by editor(s): May 20, 2002
- Received by editor(s) in revised form: January 28, 2003
- Published electronically: October 3, 2003
- Communicated by: Andreas Seeger
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 1517-1524
- MSC (2000): Primary 42B10, 42B15
- DOI: https://doi.org/10.1090/S0002-9939-03-07258-7
- MathSciNet review: 2053360