Archivio Istituzionale della RicercaWe consider a homogeneous tree endowed with a nondoubling flow measure μ of exponential growth and a probabilistic Laplacian L self-adjoint with respect to μ. We prove that the maximal characterization in terms of the heat and the Poisson semigroup of L and the Riesz transform characterization of the atomic Hardy space introduced in a previous work fail.
Hardy spaces on homogeneous trees with flow measures / Santagati, F.. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 510:2(2022), p. 126015. [10.1016/j.jmaa.2022.126015]
Hardy spaces on homogeneous trees with flow measures
Santagati F.
2022
Abstract
We consider a homogeneous tree endowed with a nondoubling flow measure μ of exponential growth and a probabilistic Laplacian L self-adjoint with respect to μ. We prove that the maximal characterization in terms of the heat and the Poisson semigroup of L and the Riesz transform characterization of the atomic Hardy space introduced in a previous work fail.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2956465