|
|||||
|
|
On a variant of the Kakeya problem in {mathbb{R}} |
|
| Authors: | Yu-long Deng Caihong Hu Shunchao Long Tai-Man Tang Jörg Thuswaldner Lifeng Xi |
| Affiliation: | 1. Department of Mathematics, Institute of Computational Mathematics, Hunan University of Science and Engineering, Yongzhou, 425199, Hunan, People’s Republic of China 2. Zhangjiajie College, Jishou University, Zhangjiajie, 427000, Hunan, People’s Republic of China 3. School of Mathematics and Computational Sciences, Xiangtan University, Xiangtan, 411105, Hunan, People’s Republic of China 4. Institut für Mathematik und Informationstechnologie, Montanuniversit?t Leoben, 8700, Leoben, Austria 5. Institute of Mathematics, Zhejiang Wanli University, Ningbo, 315100, Zhejiang, People’s Republic of China |
| Abstract: | We prove that the sharp lower bounds of the Minkowski and Hausdorff dimensions of circular Kakeya sets in ${mathbb{R}}$ are 1/2 and 0 respectively. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |