The Sharpness of Condition for Solving the Jump Problem
Ricardo Abreu Blaya, Juan Bory Reyes, Tania Moreno García · Project Euclid (Cornell University) · 2012
Let $\\gamma$ be a non-rectifiable closed Jordan curve in $\\mathbb{C}$, which is merely assumed to be $d$-summable ($1 \\frac{d}{2}$, being the jump function defined in $\\gamma$ and satisfying a Hölder condition with exponent $\ u$, $0<\ u\\leq 1$, cannot be weakened on the whole class of $d$-summable curves.