Key points are not available for this paper at this time.
In this note, we establish the bounds \ c^23 P\₀¹\!\!₀¹₀ (Bₛ-Bᵣ) dsdr \ C ^23, \ for the mutual intersection local time of two independent 1-dimensional Brownian motions B and B.
Chen et al. (Sun,) studied this question.