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Let M be a complete Riemannian manifold with sectional curvature
. Given a unit vector
and a point
we prove the existence of a complete geodesic through x whose tangent vector never comes close to v. As a consequence we show the...
denote the space of all Schur mulptiliers on the Schatten class
. It is proved that there is a linear map which is a contraction on both
but which is not bounded on
$2< p < \infty$
. Consequently, for any
$2< p <...
By using a Liapunov-Schmidt reduction we prove an existence result for the nonlinear Schrödinger equation
satisfies suitable assumptions. We also provide a necessary condition for the existence of solutions.
We prove two quantitative mean-value theorems of completely multiplicative functions on additive arithmetic semigroups. On the basis of the two theorems, a central limit theorem of additive functions on additive arithmetic semigroups is proved with a best possible error estimate. This...
The purpose of this paper is to give two applications of Fourier transforms and generic vanishing theorems:
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