Abstract
The theory of the Sobolev spacesH p m (R n) (m∈R,p polyhedron in R 2n)of [BG]is revisited here in the frame of new classes of pseudodifferential operators related to the same polyhedron p.These operators generalize to corresponding classes of Fourier integral operators, for which we present the main lines of a symbolic calculus and results of continuity on the H p m (R n) spaces.
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Boggiatto, P. Sobolev spaces associated to a polyhedron and Fourier integral operations inR n . Annali di Matematica pura ed applicata 171, 15–40 (1996). https://doi.org/10.1007/BF01759380
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DOI: https://doi.org/10.1007/BF01759380