Skip navigation
Skip navigation
Open Research will be down for maintenance between 8:00 and 8:15 am on Tuesday, December 1 2020.

Pseudodifferential Operators Associated with a Semigroup of Operators

Bernicot, Frédéric; Frey, Dorothee


Related to a semigroup of operators on a metric measure space, we define and study pseudodifferential operators (including the setting of Riemannian manifolds, fractals, graphs etc.). Boundedness on L p for pseudodifferential operators of order 0 is proved. We mainly focus on symbols belonging to the class S01,δS1,δ0 for δ∈[0,1). For the limit class S01,1S1,10, we describe some results by restricting our attention to the case of a sub-Laplacian operator on a Riemannian manifold.

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
Source: Journal of Fourier Analysis and Applications
DOI: 10.1007/s00041-013-9309-y


File Description SizeFormat Image
01_Bernicot_Pseudodifferential_Operators_2014.pdf623.6 kBAdobe PDF    Request a copy

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator