We study connections between skew-symmetric solutions of the classical Yang-Baxter equation (CYBE) and 𝓞-operators of Malcev algebras. We prove that a skew-symmetric solution of the CYBE on a Malcev ...
In this paper, we study some systems of integral equations, including those related to Hardy-Littlewood-Sobolev (HLS) inequalities. We prove that, under some integrability conditions, the positive ...