Dimensions of weighted Besicovitch sets

Authors
Xie, Yu Qiong Wen, Zhi Xiong Yu, Min
Citation
Xie, Yu Qiong et al., Dimensions of weighted Besicovitch sets, Acta mathematica Sinica. English series (Print) , 26(4), 2010, pp. 711-716
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
26
Issue
4
Year of publication
2010
Pages
711 - 716
Database
ACNP
SICI code
Abstract
We consider weighted Besicovitch sets which are defined in terms of the weighted frequency of digit 1 in the dyadic expansion of real numbers. Explicit formulas for their Hausdorff dimensions are given.