Estimates for Pseudo-Differential Operators of Class S0,0
β Scribed by Akihiko Miyachi
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 1006 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study continuity properties of the boundary values of the resolvent of perturbations of certain pseudo-differential operators by using recent versions of the conjugate operator method. Our results are optimal on the HolderαZygmund scale. In particular, three physical situations are included, nam
## Abstract In this paper we prove subelliptic estimates for operators of the form Ξ__~x~ +__ Ξ»^2^ (__x__)__S__ in β__^N^__ = β Γ β, where the operator __S__ is an elliptic integro β differential operator in β__^N^__ and Ξ» is a nonnegative Lipschitz continuous function.
The paper deals with function spaces F>,?(R", a ) and P;X(Rn, a ) defined on the EucLIDean n-space R". These spaces will be defined on the basis of function spaces of BESOV-HARDY-SOBOLEV type F;,(Rn) and B:,JRn) -see-[25], and by appropriate pseudo-differential operators A(x, 0,). We get scales of s