Global Hypoellipticity and Simultaneous Approximability
β Scribed by A.Alexandrou Himonas; Gerson Petronilho
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 148 KB
- Volume
- 170
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract It is proved that a class of subβLaplacians on the 3βdimensional torus is globally analytic, Gevrey and __C__^β^ hypoelliptic if and only if either a Diophantine condition holds or there is a point of finite type for the vector fields defining the operator under consideration. This work
In this article we continue with the study of multivariate smooth general singular integral operators over R N , N β₯ 1, regarding their simultaneous global smoothness preservation property with respect to the L p norm, 1 β€ p β€ β, by involving multivariate higher order moduli of smoothness. Also we s
It is shown that the shift-invariant space S(.) generated by . # W m 2 (R s ) provides simultaneous approximation order k, with k>m, iff S(D : .) provides approximation order k&m in the L 2 (R s )-norm to all functions in D : W k 2 (R s ) for each |:| =m. Without appealing to the argument of polynom