Construction of an exotic measure: Dyadic doubling and triadic doubling does not imply doubling

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Null Sets for Doubling and Dyadic Doubling Measures

In this note, we study sets on the real line which are null with respect to all doubling measures on R, or with respect to all dyadic doubling measures on R. We give some suucient conditions for the former, a test for the latter, and some examples. Our work is motivated by a characterization of dyadic doubling measures by Feeerman, Kenig and Pipher 5], and by a result of Martio 8] on porous set...

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Dear Alice, I have been taking OTC cough/cold/flu preps for about a week. These all contain acetaminophen with the subsequent warnings against using if one imbibes due to possible liver damage. Is there a period of time I should wait (I'm better now) after I stop using the OTCs before I can resume enjoying my "more than 3 alcoholic beverages" per day to allow the acetaminophen to metabolize? Re...

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2019

ISSN: 0022-247X

DOI: 10.1016/j.jmaa.2018.12.036