Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates

The idea behind our considerations is to consider an infinite matrix A as the analogue of the formal Fourier series associated to a 2π-periodic distribu- tion, the diagonals A k , k ∈

(3.2) In order to establish the global existence of a solution of the Hall-MHD system in the case of small data, we shall first prove the corresponding result for the extended

As with the improved Sobolev inequality (1.1), these inequalities remain sharp for oscillatory functions, but more interestingly the necessity of the above mentioned change of index

Wang , Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schr¨ odinger and wave equations, J. Oh , The

Key words and phrases: kernel theorems, nuclear spaces, Colombeau generalized functions, Colombeau temperate generalized functions, integral operator, Schwartz distributions,

In this paper we consider a smooth and bounded domain Ω ⊂ R d of dimension d ≥ 2 with smooth boundary ∂ Ω and we construct sequences of solutions to the wave equation with

Strichartz estimates in the context of the wave and Schr¨odinger equations have a long history, beginning with Strichartz pioneering work [17], where he proved the particular case q =

In this short article we show a particular version of the Hedberg inequality which can be used to derive, in a very simple manner, functional inequalities involving Sobolev and