Restricted testing for the Hardy-Littlewood maximal function
Classical Analysis and ODEs
2018-11-28 v1
Abstract
We answer a special case of a question of T. Hytonen regarding the two weight norm inequality for the maximal function M in the affirmative, namely that there is a constant D > 1, depending only on dimension n, such that the two weight norm inequality for M holds if and only if the A_2 condition holds, and the testing condition holds for all doubling cubes.
Keywords
Cite
@article{arxiv.1811.11032,
title = {Restricted testing for the Hardy-Littlewood maximal function},
author = {Kangwei Li and Eric T. Sawyer},
journal= {arXiv preprint arXiv:1811.11032},
year = {2018}
}
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33 pages