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arXiv · 2107.09958

Hardy spaces on homogeneous trees with flow measures

Federico Santagati
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Abstract

We consider a homogeneous tree endowed with a nondoubling flow measure $\mu$ of exponential growth and a probabilistic Laplacian $\mathcal{L}$ self-adjoint with respect to $\mu$. We prove that the maximal characterization in terms of the heat and the Poisson semigroup of $\mathcal{L}$ and the Riesz transform characterization of the atomic Hardy space introduced in a previous work fail.

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Federico Santagati. 2021-07-21. Hardy spaces on homogeneous trees with flow measures. https://doi.org/10.1016/j.jmaa.2022.126015

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