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.
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