Analysis on trees with nondoubling flows

Abstract: The classical Calderón–Zygmund theory was developed in the Euclidean space and, more generally, on spaces of homogeneous type, which are measure metric spaces with the doubling property. In this talk we consider trees endowed with flow measures, which are nondoubling measures of at least exponential growth. In this setting, we develop a Calderón–Zygmund theory and we define $BMO$ and Hardy spaces, proving a number of desired results extending the corresponding theory as known in the classical setting. This is a joint work with Matteo Levi, Federico Santagati and Anita Tabacco.

classical analysis and ODEsfunctional analysisrepresentation theoryspectral theory

Audience: researchers in the topic

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