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arXiv · 2308.12829

Spectral multipliers III: Endpoint bounds, intertwining operators, and twisted Hardy spaces

Marius Beceanu·Michael Goldberg
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Abstract

We extend several fundamental estimates regarding spectral multipliers for the free Laplacian on $\mathbb R^3$ to the case of perturbed Hamiltonians of the form $H=-\Delta+V$, where $V$ is a scalar real-valued potential. Results include sharp bounds for Mihlin multipliers, partial confirmation for a conjecture made in [BeGo3] about intertwining operators, a characterization of the twisted Hardy spaces that correspond to these perturbed Hamiltonians, Strichartz estimates, and maximum principles.

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Marius Beceanu, Michael Goldberg. 2023-08-24. Spectral multipliers III: Endpoint bounds, intertwining operators, and twisted Hardy spaces. https://arxiv.org/abs/2308.12829

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