Note on atomic doubling measures, quasisymmetrically thin sets and thick sets

作者：Wang, Wen; Wen, Shengyou^*; Wen, Zhixiong

来源：Journal of Mathematical Analysis and Applications, 2012, 385(2): 1027-1032.

DOI：10.1016/j.jmaa.2011.07.026

• Purely atomic doubling measure
• Quasisymmetrically thick set
• Quasisymmetrically thin set

A criterion that X carries only purely atomic doubling measures and a criterion that X does not carry any purely atomic doubling measures are both formulated. where X is a compact subset of R with (F) over bar (X) = X and F-X is the set of its isolated points. Analogues are also obtained for quasisymmetrically thin sets and thick sets.

• 出版日期2012-1-15
• 单位湖北大学; 华中科技大学