Dyadic A1 weights and equimeasurable rearrangements of functions
Functional Analysis
2012-08-01 v1
Abstract
We prove that the decreasing rearrangement of a dyadic A1 weight w with dyadic A1 constant [w]_{1,T}=c with respect to a tree T of homogeneity k,on a non-atomic probability space, is a usual A1 weight on (0,1] with A1 constant not more than kc-k+1.We prove also that the result is sharp, when one considers all such weights w.
Keywords
Cite
@article{arxiv.1207.7118,
title = {Dyadic A1 weights and equimeasurable rearrangements of functions},
author = {Eleftherios Nikolidakis},
journal= {arXiv preprint arXiv:1207.7118},
year = {2012}
}
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9 pages