Minimal and maximal extensions of M-hypoelliptic proper uniform pseudo-differential operators in Lp -spaces on non-compact manifolds
Document Type
Article
Publication Date
3-1-2021
Abstract
In the context of manifolds of bounded geometry, we show that the properties of proper uniform pseudo-differential operators (PUPDOs) constructed by Kordyukov, Meladze, and Shubin carry over to PUPDOs whose local representations have symbols belonging to the (weighted) class Mρ,Λm introduced by Garello and Morando. Under the M-ellipticity assumption, we show that the minimal and maximal extensions of such PUPDOs in the Lp-spaces, where 1 < p< ∞, coincide.
Publication Title
Journal of Pseudo-Differential Operators and Applications
Volume
12
Issue
1
Digital Object Identifier (DOI)
10.1007/s11868-021-00393-z
ISSN
16629981
E-ISSN
1662999X
Citation Information
Milatovic, O. (2021) Minimal and maximal extensions of M-hypoelliptic proper uniform pseudo-differential operators in Lp -spaces on non-compact manifolds. Journal of Pseudo-Differential Operators and Applications, 12(1), 1-16.