Generalized Strichartz Inequalities for the Wave Equation

We make a synthetic exposition of the generalized Strichartz inequalities for the wave equation obtained in [6] together with the limiting cases recently obtained in [13] with as simple proofs as possible. The proofs combine stationary phase estimates, dyadic decompositions, the Hardy-Littlewood ine...

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Bibliographic Details
Published in:Journal of functional analysis 1995-10, Vol.133 (1), p.50-68
Main Authors: Ginibre, J., Velo, G.
Format: Article
Language:English
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Summary:We make a synthetic exposition of the generalized Strichartz inequalities for the wave equation obtained in [6] together with the limiting cases recently obtained in [13] with as simple proofs as possible. The proofs combine stationary phase estimates, dyadic decompositions, the Hardy-Littlewood inequality or the Hölder inequality in time, and abstract duality and interpolation arguments.
ISSN:0022-1236
1096-0783
DOI:10.1006/jfan.1995.1119