Adaptive Deterministic Dyadic Grids on Spaces of Homogeneous Type
Volume 62 / 2014
Bulletin Polish Acad. Sci. Math. 62 (2014), 139-159
MSC: Primary 46E40.
DOI: 10.4064/ba62-2-4
Abstract
In the context of spaces of homogeneous type, we develop a method to deterministically construct dyadic grids, specifically adapted to a given combinatorial situation. This method is used to estimate vector-valued operators rearranging martingale difference sequences such as the Haar system.