Key points are not available for this paper at this time.
Let w= (w₁, w₂) be a pair of positive real numbers with w₁+w₂=1 and w₁ w₂. We show that the set of w -weighted singular vectors in R² has Hausdorff dimension 2- 11+w₁. This extends the previous work of Yitwah Cheung on the Hausdorff dimension of the usual (unweighted) singular vectors in R².
Liao et al. (Mon,) studied this question.