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Title of Journal: Math Ann

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Abbravation: Mathematische Annalen

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Springer-Verlag

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DOI

10.1007/bf00350169

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1432-1807

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Strichartz estimates via the Schrödinger maximal o

Authors: Keith M Rogers
Publish Date: 2008/09/18
Volume: 343, Issue: 3, Pages: 603-
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Abstract

We consider the Schrödinger operator eitDelta acting on initial data f in dotHs We show that an affirmative answer to a question of Carleson concerning the sharp range of s for which lim tto 0eitDeltafx=fx ae xin mathbb Rn would imply an affirmative answer to a question of Planchon concerning the sharp range of q and r for which eitDelta is bounded in L xqmathbb RnLr tmathbb R When n  =  2 we unconditionally improve the range for which the mixed norm estimates hold

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  2. Fibred multilinks and singularities $${f \overline g}$$
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  7. Artin characters, Hurwitz trees and the lifting problem
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  9. Examples of relative deformation spaces that are not locally connected
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  12. Zone diagrams in Euclidean spaces and in other normed spaces
  13. A critical radius for unit Hopf vector fields on spheres
  14. Many triangulated 3-spheres
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  17. Relatively weakly open sets in closed balls of Banach spaces, and real JB * -triples of finite rank
  18. The Bergman metric on complete Kähler manifolds
  19. Conformal dimension via subcomplexes for small cancellation and random groups
  20. Analytic torsion of Hirzebruch surfaces
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  24. On entropy, regularity and rigidity for convex representations of hyperbolic manifolds
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  26. On CR Paneitz operators and CR pluriharmonic functions
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  28. Isomonodromic deformations of logarithmic connections and stability
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