A Sharp Divergence Theorem with Nontangential Traces
Dorina Mitrea, Irina Mitrea, Marius Mitrea · Notices of the American Mathematical Society · 2020
The Fundamental Theorem of Calculus, one of the most spectacular scientific achievements, stands as beautiful, powerful, and relevant today as it did more than three centuries ago when it first emerged onto the mathematical scene.Typically, Isaac Newton and Gottfried Leibniz are credited with developing much of the mathematical machinery associated with this result into a coherent theory for infinitesimal quantities (the bedrock of modern calculus), a mathematical landscape within which the Fundamental Theorem of Calculus stands out as the crowning achievement.In its sharp one-dimensional version, involving the class AC([𝑎, 𝑏]) of absolutely continuous