[Banach] Abstract of a paper by R. Lechner and M. Passenbrunner

This is an announcement for the paper "Adaptive deterministic dyadic grids on spaces of homogeneous type" by R. Lechner and M. Passenbrunner.

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.

Archive classification: math.FA

Mathematics Subject Classification: 46E40

Remarks: 18 pages, 2 figures

Submitted from: lechner@bayou.uni-linz.ac.at

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1312.3490

or

http://arXiv.org/abs/1312.3490