Analysis on trees with nondoubling flow measures
arXiv:2011.01586 · doi:10.1007/s11118-021-09957-6
Abstract
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.
With respect to the previous version, we rephrased Proposition 2.2, which is now more precise. Corollary 2.3 does not need a proof anymore, since it is included in that of the proposition. These changes have no effects on the rest of the paper. 31 pages, no figures. You can retrieve the open access paper at https://link.springer.com/article/10.1007/s11118-021-09957-6