Analysis on trees with nondoubling flow measures

Matteo Levi, Federico Santagati, Anita Tabacco, Maria Vallarino

Published 2020-11-03Version 1

We consider trees with root at infinity endowed with flow measures, which are nondoubling measures of at least exponential growth and which do not satisfy the isoperimetric inequality. In this setting, we develop a Calderon-Zygmund theory and we define BMO and Hardy spaces, proving a number of desired results extending the corresponding theory as known in more classical settings.