On M0-sets for series with respect to characters of compact zero-dimensional
25 wrz 2015
O artykule
Data publikacji: 25 wrz 2015
Zakres stron: 165 - 174
Otrzymano: 28 lis 2014
DOI: https://doi.org/10.1515/tmmp-2015-0013
Słowa kluczowe
© 2015
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
Generalizing our previous result on Walsh system, we consider the system of characters of zero-dimensional compact abelian group. For this system, we give a construction of a perfect M0-set set whose Hausdorff h-measure equals zero, where h is any non-decreasing right-continuous function taking the value zero at the origin.