Abstract
Let M be a manifold with ends \(\mathbb {R}^{m}\sharp \mathcal {R}^{n}\) with m > n > 2 which is a non-doubling manifold. In this paper we prove a Littlewood–Paley inequality using the discrete square function defined via a dyadic partition.
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Bui, T.A. Littlewood-Paley Inequalities on Manifolds with Ends. Potential Anal 53, 613–629 (2020). https://doi.org/10.1007/s11118-019-09780-0
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DOI: https://doi.org/10.1007/s11118-019-09780-0