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Carleson conditions for asymptotic weights
Authors:Michael Brian Korey
Affiliation:Max-Planck-Arbeitsgruppe ``Partielle Differentialgleichungen und Komplexe Analysis', Universität Potsdam, 14415 Potsdam, Germany
Abstract:
The doubling and $A_infty$ conditions are characterized in terms of convolution with rapidly decreasing kernels. The Carleson-measure criterion for $A_infty$ of Fefferman, Kenig, and Pipher is extended to the case when all bounds become optimally small in the asymptotic limit.

Keywords:Doubling measure   vanishing mean oscillation   $A_infty$ condition   Carleson measure.
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