English

Adaptive deterministic dyadic grids on spaces of homogeneous type

Functional Analysis 2018-10-03 v2

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.

Keywords

Cite

@article{arxiv.1312.3490,
  title  = {Adaptive deterministic dyadic grids on spaces of homogeneous type},
  author = {Richard Lechner and Markus Passenbrunner},
  journal= {arXiv preprint arXiv:1312.3490},
  year   = {2018}
}

Comments

17 pages, 2 figures

R2 v1 2026-06-22T02:26:16.355Z