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A note on BV capacities on Grushin spaces Request PDF
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WebMar 17, 2024 · A Boxing Inequality for the Fractional Perimeter. Augusto C. Ponce, Daniel Spector. We prove the Boxing inequality: for every and every bounded open subset , where is the Hausdorff content of of dimension and the constant depends only on . We then show how this estimate implies a trace inequality in the fractional Sobolev space that … WebJul 19, 2024 · Our motivation comes from a new fractional Boxing... Global Survey. In just 3 minutes help us understand how you see arXiv. TAKE SURVEY ... Our motivation comes from a new fractional Boxing inequality that relates the fractional perimeter and the Hausdorff content and implies several known inequalities involving the Gagliardo … WebJul 1, 2024 · The purpose of this article is twofold. The first is to strengthen fractional Sobolev type inequalities in Besov spaces via the classical Lorentz space. In doing so, we show that the Sobolev inequality in Besov spaces is equivalent to the fractional Hardy inequality and the iso-capacitary type inequality. Secondly, we will strengthen fractional … guam fast food