Endpoint results for Fourier integral operators on noncompact symmetric spaces
Functional Analysis
2018-04-10 v3
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.
Keywords
Cite
@article{arxiv.1609.07401,
title = {Endpoint results for Fourier integral operators on noncompact symmetric spaces},
author = {Tommaso Bruno and Anita Tabacco and Maria Vallarino},
journal= {arXiv preprint arXiv:1609.07401},
year = {2018}
}
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22 pages