Determine the largest $s\in(0,1)$ for which the following integral converges
$$\int_0^1\int_0^1\frac{\Big|\log|x-\frac{1}{2}|-\log|y-\frac{1}{2}|\Big|}{|x-y|^{1+2s}}^{2}dxdy$$
2026-04-17 17:01:43.1776445303
Sobolev space membership of logarithmic function
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