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A note on the cone restriction conjecture in the cylindrically symmetric case
Shao, Shuanglin
Shao, Shuanglin
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Abstract
In this paper, we present two arguments showing that the classical linear adjoint cone restriction conjecture holds for the class of functions supported on the cone and invariant under spatial rotation in all dimensions. The first is based on a dyadic restriction estimate, while the second follows from a strengthening version of the Hausdorff-Young inequality and the Hölder inequality in Lorentz spaces.
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This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-08-09668-8.
Date
2009-08-28
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American Mathematical Society
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Shao, Shuanglin. "A note on the cone restriction conjecture in the cylindrically symmetric case." Proc. Amer. Math. Soc. 137 (2009), 135-143. http://dx.doi.org/10.1090/S0002-9939-08-09668-8.