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Pseudodifferential Operators Associated with a Semigroup of Operators

Bernicot, Frédéric; Frey, Dorothee

Description

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
URI: http://hdl.handle.net/1885/103457
Source: Journal of Fourier Analysis and Applications
DOI: 10.1007/s00041-013-9309-y

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