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arXiv · 2108.04155

The structure of weight and function classes with coprime bases

Theresa C. Anderson·Chiara Travesset·Joey Veltri
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Abstract

In a recent work of Anderson and Hu, the authors constructed a measure that was $p$-adic and $q$-adic doubling, for any primes $p$ and $q$, yet not doubling. This work relied heavily on a developed number theory framework. Here we develop this framework farther, which yields a measure that is $m$-adic and $n$-adic doubling for any coprime $m,n$, yet not doubling. Additionally we show several new applications to the intersection of weight and the function classes.

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Theresa C. Anderson, Chiara Travesset, Joey Veltri. 2021-08-09. The structure of weight and function classes with coprime bases. https://doi.org/10.1093/qmath/haac014

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