We consider an infinite homogeneous tree V endowed with the usual metric d defined on graphs and a weighted measure μ. The metric measure space (V, d, μ) is nondoubling and of exponential growth, hence the classical theory of Hardy spaces does not apply in this setting. We construct an atomic Hardy space H1(μ) on (V, d, μ) and investigate some of its properties, focusing in particular on real interpolation properties and on boundedness of singular integrals on H1(μ).
Hardy Spaces on Weighted Homogeneous Trees / Arditti, L.; Tabacco, A.; Vallarino, M.. - STAMPA. - (2020), pp. 21-39.
Titolo: | Hardy Spaces on Weighted Homogeneous Trees |
Autori: | |
Data di pubblicazione: | 2020 |
Titolo del libro: | Applied and Numerical Harmonic Analysis |
Serie: | |
Abstract: | We consider an infinite homogeneous tree V endowed with the usual metric d defined on graphs and ...a weighted measure μ. The metric measure space (V, d, μ) is nondoubling and of exponential growth, hence the classical theory of Hardy spaces does not apply in this setting. We construct an atomic Hardy space H1(μ) on (V, d, μ) and investigate some of its properties, focusing in particular on real interpolation properties and on boundedness of singular integrals on H1(μ). |
ISBN: | 978-3-030-36137-2 978-3-030-36138-9 |
Appare nelle tipologie: | 2.1 Contributo in volume (Capitolo o Saggio) |
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http://hdl.handle.net/11583/2831537
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