2,790 research outputs found

    Fractional boundary Hardy inequality for the critical cases

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    We establish fractional boundary Hardy-type inequality for the critical cases by introducing a logarithmically singular weight term for various domains in Rd\mathbb{R}^{d}, d≥1d \geq 1. We show that this particular weight function is optimal, as the inequality becomes false when using weight functions more singular than this one. Additionally, we extend our results to include a weighted fractional boundary Hardy-type inequality for the critical case, employing the same type of weight function.Comment: 29 page

    Properties of Multihomogeneous Spaces and relation with T-varieties

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    We study multihomogeneous spaces corresponding to Zn{\mathbb Z}^n-graded algebras over an algebraically closed field of characteristic 0 and their relation with the description of TT-varieties.Comment: 10 page
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