Endpoint results for Fourier integral operators on noncompact symmetric spaces (1609.07401v3)

Published 23 Sep 2016 in math.FA

Abstract: Let X be a noncompact symmetric space of rank one and let h^1(X) be a local atomic Hardy space. We prove the boundedness from h^1(X) to L^1(X) and on h^1(X) of some classes of Fourier integral operators related to the wave equation associated with the Laplacian on X and we estimate the growth of their norms depending on time.

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