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| 摘要: |
| 本文研究了R3上一类圆盘型Besicovitch集的Hausdorff维数问题.将Kakeya问题二维情形的其中一种证明方法推广到R3空间，获得了该类圆盘型Besicovitch集的Hausdorff维数为3. |
| 关键词: Besicovitch集 Kakeya问题 Hausdorff维数 |
| DOI： |
| 分类号:O174.1 |
| 基金项目: |
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| ESTIMATES OF DIMENSION FOR A TYPE OF SPECIAL BESICOVITCH SETS IN R3 |
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CHEN Ze-bin
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| Abstract: |
| This dissertation is devoted to the Hausdorff dimension for a type of disc Besicovitch sets. It is well know that the situation of R2 about Kakeya problem has been solved by now, and there exist several methods which can prove it, which aim to generalize one of those methods to R3 space. Then we prove that there are a type of disc Besicovitch sets in R3 whose Hausdorff dimension is 3. |
| Key words: Besicovitch sets Kakeya problem Hausdorff dimension |
