Adaptive Deterministic Dyadic Grids on Spaces of Homogeneous Type
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 2, pp. 139-159.

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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.
DOI : 10.4064/ba62-2-4
Keywords: context spaces homogeneous type develop method deterministically construct dyadic grids specifically adapted given combinatorial situation method estimate vector valued operators rearranging martingale difference sequences haar system

Richard Lechner 1 ; Markus Passenbrunner 1

1 Institute of Analysis Johannes Kepler University Linz Altenberger Strasse 69 A-4040 Linz, Austria
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Richard Lechner; Markus Passenbrunner. Adaptive Deterministic Dyadic Grids on Spaces of Homogeneous Type. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 2, pp. 139-159. doi : 10.4064/ba62-2-4. http://geodesic.mathdoc.fr/articles/10.4064/ba62-2-4/

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