Multipliers spaces and pseudo-differential operators
| dc.creator | Gala, Sadek | |
| dc.date | 2005-05-02 | |
| dc.date.accessioned | 2026-07-07T05:19:34Z | |
| dc.date.available | 2026-07-07T05:19:34Z | |
| dc.description | Let $σ(x,ξ) $ be a sufficiently regular function defined on $R^d \times R^d.$ The pseudo-differential operator with symbol $σ$ is defined on the Schwartz class by the formula: \[f\toσf(x)=\int_{R^d} σ(x,ξ) \hat{f}(ξ)e^{2πixξ}dξ, \] where $\hat{f}(ξ)=\int_{R^d} f(x)e^{-2πixξ}dx$ is the Fourier transform of $f.$ In this paper, we shall consider the regularity of the following type : \begin{description} \item[(a)] $| \partial_ξ^ασ(x,ξ) | \leq A_α(1+| ξ|) ^{-| α|},$ \item[(b)] $| \partial_ξ^ασ(x+y,ξ) -\partial_ξ^ασ(x,ξ) | \leq A_αω(| y|) (1+| ξ|) ^{-| α|},$ \end{description} % | |
| dc.identifier | https://arxiv.org/abs/math/0505021 | |
| dc.identifier | http://arxiv.org/abs/math/0505021 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75062 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 42Bxx; 31Bxx | |
| dc.title | Multipliers spaces and pseudo-differential operators | |
| dc.type | text |