Characterizations of Hardy spaces for Fourier integral operators

  • Jan Rozendaal

    The Australian National University, Canberra, Australia
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Abstract

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.

Cite this article

Jan Rozendaal, Characterizations of Hardy spaces for Fourier integral operators. Rev. Mat. Iberoam. 37 (2021), no. 5, pp. 1717–1745

DOI 10.4171/RMI/1246