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We prove several characterizations of the Hardy spaces for Fourier integral operators , for . First we characterize in terms of -norms of parabolic frequency localizations. As a corollary, any characterization of yields a corresponding version for . In particular, we obtain a maximal function characterization and a characterization in terms of vertical square functions.
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Jan Rozendaal, Characterizations of Hardy spaces for Fourier integral operators. Rev. Mat. Iberoam. 37 (2021), no. 5, pp. 1717–1745DOI 10.4171/RMI/1246