A note on the cone restriction conjecture in the cylindrically symmetric case
Issue Date
2009-08-28Author
Shao, Shuanglin
Publisher
American Mathematical Society
Type
Article
Article Version
Scholarly/refereed, publisher version
Metadata
Show full item recordAbstract
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.
Description
This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-08-09668-8.
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Citation
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.
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