The classical Hilbert inequality states that if $f,g\in L^2(0,+\infty)$, then $$\int_0^{\infty}\int_0^{\infty}\frac{f(x)g(y)}{x+y}dxdy\leq\pi\|f\|_2\|g\|_2.$$ Are there analogs to the inequality for locally compact groups?
2026-03-25 19:03:21.1774465401
Extension of Hilbert Inequality for locall compact groups
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